Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > Find the resultant force 130N and 110N respec...
Start Learning for Free
Find the resultant force 130N and 110N respectively acting at an angle whose tangent is 12÷5?
Most Upvoted Answer
Find the resultant force 130N and 110N respectively acting at an angle...
Introduction:
In this problem, we are given two forces of 130N and 110N acting at an angle whose tangent is 12/5. We need to find the resultant force of these two forces.
Method:
We can find the resultant force of two forces using the following formula:
Resultant force = √(F1² + F2² + 2F1F2cosθ)
Where F1 and F2 are the magnitudes of the two forces, θ is the angle between them, and cosθ is the cosine of the angle between them.
Calculation:
Given, F1 = 130N, F2 = 110N, and tanθ = 12/5
We can find cosθ using the formula:
cosθ = 1/√(1 + tan²θ)
cosθ = 1/√(1 + (12/5)²)
cosθ = 5/13
Now, we can calculate the resultant force using the formula:
Resultant force = √(130² + 110² + 2(130)(110)(5/13))
Resultant force = √(16900 + 12100 + 10000)
Resultant force = √39000
Resultant force = 197.49N (approx)
Conclusion:
The resultant force of the two forces of 130N and 110N acting at an angle whose tangent is 12/5 is approximately 197.49N.
In this problem, we are given two forces of 130N and 110N acting at an angle whose tangent is 12/5. We need to find the resultant force of these two forces.
Method:
We can find the resultant force of two forces using the following formula:
Resultant force = √(F1² + F2² + 2F1F2cosθ)
Where F1 and F2 are the magnitudes of the two forces, θ is the angle between them, and cosθ is the cosine of the angle between them.
Calculation:
Given, F1 = 130N, F2 = 110N, and tanθ = 12/5
We can find cosθ using the formula:
cosθ = 1/√(1 + tan²θ)
cosθ = 1/√(1 + (12/5)²)
cosθ = 5/13
Now, we can calculate the resultant force using the formula:
Resultant force = √(130² + 110² + 2(130)(110)(5/13))
Resultant force = √(16900 + 12100 + 10000)
Resultant force = √39000
Resultant force = 197.49N (approx)
Conclusion:
The resultant force of the two forces of 130N and 110N acting at an angle whose tangent is 12/5 is approximately 197.49N.
Community Answer
Find the resultant force 130N and 110N respectively acting at an angle...
Attention Civil Engineering (CE) Students!
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
Find the resultant force 130N and 110N respectively acting at an angle whose tangent is 12÷5?
Question Description
Find the resultant force 130N and 110N respectively acting at an angle whose tangent is 12÷5? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Find the resultant force 130N and 110N respectively acting at an angle whose tangent is 12÷5? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the resultant force 130N and 110N respectively acting at an angle whose tangent is 12÷5?.
Find the resultant force 130N and 110N respectively acting at an angle whose tangent is 12÷5? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Find the resultant force 130N and 110N respectively acting at an angle whose tangent is 12÷5? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the resultant force 130N and 110N respectively acting at an angle whose tangent is 12÷5?.
Solutions for Find the resultant force 130N and 110N respectively acting at an angle whose tangent is 12÷5? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of Find the resultant force 130N and 110N respectively acting at an angle whose tangent is 12÷5? defined & explained in the simplest way possible. Besides giving the explanation of
Find the resultant force 130N and 110N respectively acting at an angle whose tangent is 12÷5?, a detailed solution for Find the resultant force 130N and 110N respectively acting at an angle whose tangent is 12÷5? has been provided alongside types of Find the resultant force 130N and 110N respectively acting at an angle whose tangent is 12÷5? theory, EduRev gives you an
ample number of questions to practice Find the resultant force 130N and 110N respectively acting at an angle whose tangent is 12÷5? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) 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