If during circular motion, the tangential velocity of a body becomes double, then centripetal force becomes:
Correct answer: C. Four times
- A. Double
- B. One half
- C. Four times
- D. One fourth
Explanation
When an object moves in a circular motion, it experiences a centripetal force that keeps it moving in a curved path. The centripetal force is given by the equation: F = (mv²) / r, where F is the centripetal force, m is the mass of the object, v is the tangential velocity, and r is the radius of the circular path. If the tangential velocity of the body becomes double, we can denote the original velocity as v and the new velocity as 2v. We can calculate the new centripetal force as F' = (m(2v)²) / r = (4mv²) / r. Comparing F' to the original force F, we can see that F' is indeed four times the value of F.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Angular and Linear Quantities
Rotational motion relates angular displacement, angular velocity and angular acceleration to linear displacement, tangential velocity and tangential acceleration through the radius. Questions use radians, v equals r omega and tangential acceleration, while distinguishing tangential velocity from centripetal acceleration and angular quantities from their linear counterparts.
Practise Rotational and Circular Motion
521 free Rotational and Circular Motion MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Physics questions like this
Physics is on 16 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Angular and Linear Quantities questions
If during circular motion, tangential velocity of a body becomes double, then centripetal force becomes:
A car going around a certain curve at a speed of 25 km/h has centripetal force of 100 N acting on it. If the speed of the car is doubled, the centripetal force:
A car going around a certain curve at a speed of 25 km/h has a centripetal force acting on it of 100 N. If the speed of the car is doubled, the centripetal force:
The earth rotates on its axis once a day. Suppose, by some process the earth contracts so that it's radius is only half as large as at present, then how long the earth will take to complete it's rotation?
A jeep travelling at a constant speed of 108 km/hr rounds a curve of radius 100 m. Find its acceleration.
A body having translatory motion possesses _ and _. In the same way a body having rotatory motion possesses _ and _.