A body moves in a circle with increasing angular velocity. At time t= 6sec, the angular velocity is 27rad/s. What is the radius of circle made by the body where linear velocity is 81cm/s?
Correct answer: C. 3cm
- A. 6cm
- B. 9cm
- C. 3cm
- D. 7cm
Explanation
Given the linear velocity of 81 cm/s and the angular velocity of 27 rad/s, we can use the formula v = r * ω to find the radius. By converting the linear velocity to meters per second, we get 0.81 m/s. Solving for the radius, we find that it is approximately 0.03 meters or 3 centimetres. This makes Option C the correct answer. The other options are incorrect due to errors in the calculations or misinterpretation of the given data.v = rω ⇒ r = v/ω = 81/27 = 3cm
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
When a body moves in a circle, the angle between its velocity v and angular velocity ω is always
A girl attaches a rock to a string, which she then swings counter-clockwise in a horizontal circle. The string breaks at point P in the figure, which shows a bird's-eye view (as seen from above). Which path (A-E) will the rock follow?
A body moves in a circle with increasing angular velocity. At time t =6 sec, the angular velocity is 27 rad/s. What is the radius of the circle made by the body where linear velocity is 81 cm/s?
A wheel of radius 1 m covers an angular displacement of 180o. Its linear dispacement is
Linear velocity or tangential velocity of any particle moving in a circular path of radius 2m with angular velocity 8rad-1 will be:
The linear and angular velocities of a particle moving about the centre of a circle of radius r, are related by