UPSC Exam > UPSC Questions > Gravel is dropped into a conveyor belt at a r...
Start Learning for Free
Gravel is dropped into a conveyor belt at a rate of 0.5 kg/second the extra force required to keep the belt moving at 10 meter/second is?
Most Upvoted Answer
Gravel is dropped into a conveyor belt at a rate of 0.5 kg/second the ...
Calculating the Extra Force Required to Keep the Conveyor Belt Moving:
The extra force required to keep the conveyor belt moving at a constant speed can be calculated using the equation:
\[ F_{\text{extra}} = \frac{d(mv)}{dt} \]
Where:
- \( F_{\text{extra}} \) = Extra force required (N)
- \( m \) = Mass of the gravel on the conveyor belt (kg)
- \( v \) = Velocity of the conveyor belt (m/s)
- \( t \) = Time
Given Data:
- Mass flow rate of gravel (\( \frac{dm}{dt} \)) = 0.5 kg/s
- Velocity of the conveyor belt (\( v \)) = 10 m/s
Calculating the Mass of Gravel on the Conveyor Belt:
The mass of the gravel on the conveyor belt at any given time can be calculated using the equation:
\[ m = \text{Mass flow rate} \times t \]
Substitute the given values:
\[ m = 0.5 \times t \]
Substitute the Mass Equation into the Force Equation:
\[ F_{\text{extra}} = \frac{d(0.5t \times 10)}{dt} \]
\[ F_{\text{extra}} = \frac{5}{2} \]
Therefore, the extra force required to keep the conveyor belt moving at 10 m/s is 2.5 N.
The extra force required to keep the conveyor belt moving at a constant speed can be calculated using the equation:
\[ F_{\text{extra}} = \frac{d(mv)}{dt} \]
Where:
- \( F_{\text{extra}} \) = Extra force required (N)
- \( m \) = Mass of the gravel on the conveyor belt (kg)
- \( v \) = Velocity of the conveyor belt (m/s)
- \( t \) = Time
Given Data:
- Mass flow rate of gravel (\( \frac{dm}{dt} \)) = 0.5 kg/s
- Velocity of the conveyor belt (\( v \)) = 10 m/s
Calculating the Mass of Gravel on the Conveyor Belt:
The mass of the gravel on the conveyor belt at any given time can be calculated using the equation:
\[ m = \text{Mass flow rate} \times t \]
Substitute the given values:
\[ m = 0.5 \times t \]
Substitute the Mass Equation into the Force Equation:
\[ F_{\text{extra}} = \frac{d(0.5t \times 10)}{dt} \]
\[ F_{\text{extra}} = \frac{5}{2} \]
Therefore, the extra force required to keep the conveyor belt moving at 10 m/s is 2.5 N.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
Gravel is dropped into a conveyor belt at a rate of 0.5 kg/second the extra force required to keep the belt moving at 10 meter/second is?
Question Description
Gravel is dropped into a conveyor belt at a rate of 0.5 kg/second the extra force required to keep the belt moving at 10 meter/second is? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Gravel is dropped into a conveyor belt at a rate of 0.5 kg/second the extra force required to keep the belt moving at 10 meter/second is? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Gravel is dropped into a conveyor belt at a rate of 0.5 kg/second the extra force required to keep the belt moving at 10 meter/second is?.
Gravel is dropped into a conveyor belt at a rate of 0.5 kg/second the extra force required to keep the belt moving at 10 meter/second is? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Gravel is dropped into a conveyor belt at a rate of 0.5 kg/second the extra force required to keep the belt moving at 10 meter/second is? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Gravel is dropped into a conveyor belt at a rate of 0.5 kg/second the extra force required to keep the belt moving at 10 meter/second is?.
Solutions for Gravel is dropped into a conveyor belt at a rate of 0.5 kg/second the extra force required to keep the belt moving at 10 meter/second is? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Gravel is dropped into a conveyor belt at a rate of 0.5 kg/second the extra force required to keep the belt moving at 10 meter/second is? defined & explained in the simplest way possible. Besides giving the explanation of
Gravel is dropped into a conveyor belt at a rate of 0.5 kg/second the extra force required to keep the belt moving at 10 meter/second is?, a detailed solution for Gravel is dropped into a conveyor belt at a rate of 0.5 kg/second the extra force required to keep the belt moving at 10 meter/second is? has been provided alongside types of Gravel is dropped into a conveyor belt at a rate of 0.5 kg/second the extra force required to keep the belt moving at 10 meter/second is? theory, EduRev gives you an
ample number of questions to practice Gravel is dropped into a conveyor belt at a rate of 0.5 kg/second the extra force required to keep the belt moving at 10 meter/second is? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup