Mechanical Engineering Exam > Mechanical Engineering Questions > A cam operating a knife edge follower having ...
Start Learning for Free
A cam operating a knife edge follower having a lift of 30mm. The cam rises the follower with SHM for 150 degree of its rotation followed by a period of dwell of 60 degree.The follower decends for the nest 100 degree rotation of a cam with uniform velocity again followed by a dwell period. The cam rotates at a uniform speed of 120 rpm. Find the maximum velocity and acceleration of the follower during rise and return.?
Most Upvoted Answer
A cam operating a knife edge follower having a lift of 30mm. The cam r...
Solution:
Given data:
Lift (L) = 30mm
Rotation speed (N) = 120 rpm
Rise angle (α1) = 150°
Return angle (α2) = 100°
Dwell angle (α3) = 60°
We need to find:
Maximum velocity (Vmax) and Maximum acceleration (Amax) during rise and return of the follower.
1. Calculation of Rise and Return motion parameters:
We know that,
Linear velocity (V) = R × ω
where,
R = Radius of cam = Lift / 2
ω = Angular velocity = 2πN / 60
For Rise motion:
α1 = 150°
Dwell angle = α3 = 60°
Total angle covered during Rise motion (α) = α1 + α3 = 210°
Time taken for Rise motion (t1) = (α1 / 360) × (60 / N) = (150 / 360) × (60 / 120) = 0.25 sec
Time taken for Dwell period (t3) = (α3 / 360) × (60 / N) = (60 / 360) × (60 / 120) = 0.1 sec
Total time taken for Rise cycle (T1) = t1 + t3 = 0.35 sec
Maximum linear velocity during Rise motion (Vmax1) = R × ω = (30 / 2) × (2π × 120 / 60) = 94.25 mm/sec
For Return motion:
α2 = 100°
Dwell angle = α3 = 60°
Total angle covered during Return motion (α) = α2 + α3 = 160°
Time taken for Return motion (t2) = (α2 / 360) × (60 / N) = (100 / 360) × (60 / 120) = 0.1667 sec
Time taken for Dwell period (t3) = (α3 / 360) × (60 / N) = (60 / 360) × (60 / 120) = 0.1 sec
Total time taken for Return cycle (T2) = t2 + t3 = 0.2667 sec
Maximum linear velocity during Return motion (Vmax2) = R × ω = (30 / 2) × (2π × 120 / 60) = 94.25 mm/sec
2. Calculation of Maximum Acceleration:
We know that,
Acceleration (A) = dV / dt
For Rise motion:
Initial velocity (Vi) = 0
Final velocity (Vf) = Vmax1
Time taken (t) = t1 / 2 (as it is SHM)
Maximum acceleration during Rise motion (Amax1) = (Vf - Vi) / t = Vmax1 / (t1 / 2) = 754 mm/sec²
For Return motion:
Initial velocity (Vi) = Vmax2
Final velocity (Vf) = 0
Time taken (t) = t2 / 2 (as it is uniform velocity)
Maximum acceleration during Return motion (Amax2) = (Vf - Vi) / t = -Vmax2 /
Given data:
Lift (L) = 30mm
Rotation speed (N) = 120 rpm
Rise angle (α1) = 150°
Return angle (α2) = 100°
Dwell angle (α3) = 60°
We need to find:
Maximum velocity (Vmax) and Maximum acceleration (Amax) during rise and return of the follower.
1. Calculation of Rise and Return motion parameters:
We know that,
Linear velocity (V) = R × ω
where,
R = Radius of cam = Lift / 2
ω = Angular velocity = 2πN / 60
For Rise motion:
α1 = 150°
Dwell angle = α3 = 60°
Total angle covered during Rise motion (α) = α1 + α3 = 210°
Time taken for Rise motion (t1) = (α1 / 360) × (60 / N) = (150 / 360) × (60 / 120) = 0.25 sec
Time taken for Dwell period (t3) = (α3 / 360) × (60 / N) = (60 / 360) × (60 / 120) = 0.1 sec
Total time taken for Rise cycle (T1) = t1 + t3 = 0.35 sec
Maximum linear velocity during Rise motion (Vmax1) = R × ω = (30 / 2) × (2π × 120 / 60) = 94.25 mm/sec
For Return motion:
α2 = 100°
Dwell angle = α3 = 60°
Total angle covered during Return motion (α) = α2 + α3 = 160°
Time taken for Return motion (t2) = (α2 / 360) × (60 / N) = (100 / 360) × (60 / 120) = 0.1667 sec
Time taken for Dwell period (t3) = (α3 / 360) × (60 / N) = (60 / 360) × (60 / 120) = 0.1 sec
Total time taken for Return cycle (T2) = t2 + t3 = 0.2667 sec
Maximum linear velocity during Return motion (Vmax2) = R × ω = (30 / 2) × (2π × 120 / 60) = 94.25 mm/sec
2. Calculation of Maximum Acceleration:
We know that,
Acceleration (A) = dV / dt
For Rise motion:
Initial velocity (Vi) = 0
Final velocity (Vf) = Vmax1
Time taken (t) = t1 / 2 (as it is SHM)
Maximum acceleration during Rise motion (Amax1) = (Vf - Vi) / t = Vmax1 / (t1 / 2) = 754 mm/sec²
For Return motion:
Initial velocity (Vi) = Vmax2
Final velocity (Vf) = 0
Time taken (t) = t2 / 2 (as it is uniform velocity)
Maximum acceleration during Return motion (Amax2) = (Vf - Vi) / t = -Vmax2 /
Community Answer
A cam operating a knife edge follower having a lift of 30mm. The cam r...
Draw the profile of a cam operating a knife-edge follower having a lift of 30mm. The cam raises the follower with SHM for 1500 of the rotation followed by a period of dwell for 600 .The follower descends for the next 1000 rotation of the cam with uniform velocity, again followed by a dwell period. the rotates at a uniform velocity of 120 rpm and has a least radius of 20mm. What will be the maximum velocity and acceleration of the follower during the lift and the return?
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
A cam operating a knife edge follower having a lift of 30mm. The cam rises the follower with SHM for 150 degree of its rotation followed by a period of dwell of 60 degree.The follower decends for the nest 100 degree rotation of a cam with uniform velocity again followed by a dwell period. The cam rotates at a uniform speed of 120 rpm. Find the maximum velocity and acceleration of the follower during rise and return.?
Question Description
A cam operating a knife edge follower having a lift of 30mm. The cam rises the follower with SHM for 150 degree of its rotation followed by a period of dwell of 60 degree.The follower decends for the nest 100 degree rotation of a cam with uniform velocity again followed by a dwell period. The cam rotates at a uniform speed of 120 rpm. Find the maximum velocity and acceleration of the follower during rise and return.? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A cam operating a knife edge follower having a lift of 30mm. The cam rises the follower with SHM for 150 degree of its rotation followed by a period of dwell of 60 degree.The follower decends for the nest 100 degree rotation of a cam with uniform velocity again followed by a dwell period. The cam rotates at a uniform speed of 120 rpm. Find the maximum velocity and acceleration of the follower during rise and return.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cam operating a knife edge follower having a lift of 30mm. The cam rises the follower with SHM for 150 degree of its rotation followed by a period of dwell of 60 degree.The follower decends for the nest 100 degree rotation of a cam with uniform velocity again followed by a dwell period. The cam rotates at a uniform speed of 120 rpm. Find the maximum velocity and acceleration of the follower during rise and return.?.
A cam operating a knife edge follower having a lift of 30mm. The cam rises the follower with SHM for 150 degree of its rotation followed by a period of dwell of 60 degree.The follower decends for the nest 100 degree rotation of a cam with uniform velocity again followed by a dwell period. The cam rotates at a uniform speed of 120 rpm. Find the maximum velocity and acceleration of the follower during rise and return.? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A cam operating a knife edge follower having a lift of 30mm. The cam rises the follower with SHM for 150 degree of its rotation followed by a period of dwell of 60 degree.The follower decends for the nest 100 degree rotation of a cam with uniform velocity again followed by a dwell period. The cam rotates at a uniform speed of 120 rpm. Find the maximum velocity and acceleration of the follower during rise and return.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cam operating a knife edge follower having a lift of 30mm. The cam rises the follower with SHM for 150 degree of its rotation followed by a period of dwell of 60 degree.The follower decends for the nest 100 degree rotation of a cam with uniform velocity again followed by a dwell period. The cam rotates at a uniform speed of 120 rpm. Find the maximum velocity and acceleration of the follower during rise and return.?.
Solutions for A cam operating a knife edge follower having a lift of 30mm. The cam rises the follower with SHM for 150 degree of its rotation followed by a period of dwell of 60 degree.The follower decends for the nest 100 degree rotation of a cam with uniform velocity again followed by a dwell period. The cam rotates at a uniform speed of 120 rpm. Find the maximum velocity and acceleration of the follower during rise and return.? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of A cam operating a knife edge follower having a lift of 30mm. The cam rises the follower with SHM for 150 degree of its rotation followed by a period of dwell of 60 degree.The follower decends for the nest 100 degree rotation of a cam with uniform velocity again followed by a dwell period. The cam rotates at a uniform speed of 120 rpm. Find the maximum velocity and acceleration of the follower during rise and return.? defined & explained in the simplest way possible. Besides giving the explanation of
A cam operating a knife edge follower having a lift of 30mm. The cam rises the follower with SHM for 150 degree of its rotation followed by a period of dwell of 60 degree.The follower decends for the nest 100 degree rotation of a cam with uniform velocity again followed by a dwell period. The cam rotates at a uniform speed of 120 rpm. Find the maximum velocity and acceleration of the follower during rise and return.?, a detailed solution for A cam operating a knife edge follower having a lift of 30mm. The cam rises the follower with SHM for 150 degree of its rotation followed by a period of dwell of 60 degree.The follower decends for the nest 100 degree rotation of a cam with uniform velocity again followed by a dwell period. The cam rotates at a uniform speed of 120 rpm. Find the maximum velocity and acceleration of the follower during rise and return.? has been provided alongside types of A cam operating a knife edge follower having a lift of 30mm. The cam rises the follower with SHM for 150 degree of its rotation followed by a period of dwell of 60 degree.The follower decends for the nest 100 degree rotation of a cam with uniform velocity again followed by a dwell period. The cam rotates at a uniform speed of 120 rpm. Find the maximum velocity and acceleration of the follower during rise and return.? theory, EduRev gives you an
ample number of questions to practice A cam operating a knife edge follower having a lift of 30mm. The cam rises the follower with SHM for 150 degree of its rotation followed by a period of dwell of 60 degree.The follower decends for the nest 100 degree rotation of a cam with uniform velocity again followed by a dwell period. The cam rotates at a uniform speed of 120 rpm. Find the maximum velocity and acceleration of the follower during rise and return.? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup