Two cylinders of equal mass are made from the same material. The one with the larger diameter accelerates _ the other under the action of the same torque.
Correct answer: A. Faster than.
- A. Faster than.
- B. Slower than.
- C. Equal to.
- D. None f these.
Explanation
a) Faster than: This option suggests that the cylinder with the larger diameter accelerates at a faster rate than the other cylinder under the same torque. This is the correct answer. According to the principle of rotational dynamics, the moment of inertia of an object increases with its radius (diameter), and therefore a larger diameter cylinder will have a larger moment of inertia. As a result, it will require a smaller angular acceleration (angular velocity change per unit time) to achieve the same angular speed as the smaller diameter cylinder when acted upon by the same torque.
This question appeared on the UHS MDCAT 2008 paper, which you can sit online with every answer explained.
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
The angular speed of a particle moving in a circle of radius 20 cm, increases from 2 rad/s to 40 rad/s in 19s. What is the ratio of its centripetal acceleration to tangential acceleration at the end of 19s?
A car accelerates from 0 to 72 km/h in 5 seconds. If it has wheels of diameter 50 cm, the angular acceleration of its wheels is?
The angular acceleration has units
Linear velocity or tangential velocity of any particle moving in a circular path of radlus 2m with angular velocity 8 rads-1 will be:
What is torque 'τ' in a circular motion?
If length of a spanner is 'I' and a force 'F' is applied on it to tighten a nut such that it passes through the pivot point, then torque is: