Relation Between Linear And Angular
A point on a rim of radius 0.5 m has linear speed 2 m/s. Angular speed is:
Select the correct option:
🔒 Solution Hidden from View
Submit your answer to unlock the detailed step-by-step solution.
More rotational motion Practice Questions
A thin circular ring of mass M and radius R has a moment of inertia MR² about its central axis perpe...
A thin circular ring of mass M and radius R has a moment of inertia MR² about its central axis perpe...
A uniform beam of weight 200 N and length 4 m rests horizontally on two supports placed at its two e...
A uniform beam of weight 200 N and length 4 m rests horizontally on two supports placed at its two e...
A point on the rim of a wheel of radius 0.50 m moves while the wheel rotates at a constant angular v...
A point on the rim of a wheel of radius 0.50 m moves while the wheel rotates at a constant angular v...
A bomb at rest in deep space suddenly explodes into several fragments that fly off in different dire...
A bomb at rest in deep space suddenly explodes into several fragments that fly off in different dire...
A constant torque of 5 N·m acts on a wheel and turns it through an angular displacement of 8 radians...
A constant torque of 5 N·m acts on a wheel and turns it through an angular displacement of 8 radians...
A solid sphere and a thin spherical shell have the same mass and the same radius and rotate about th...
A solid sphere and a thin spherical shell have the same mass and the same radius and rotate about th...
A child of negligible spin sits on a rotating stool that turns at 2 rad/s with moment of inertia 4 k...
A child of negligible spin sits on a rotating stool that turns at 2 rad/s with moment of inertia 4 k...
A solid cylinder is released from rest and rolls without slipping down an incline making an angle wh...
A solid cylinder is released from rest and rolls without slipping down an incline making an angle wh...
A force is applied to a particle whose position vector relative to the origin is given, and the forc...
A force is applied to a particle whose position vector relative to the origin is given, and the forc...
A flywheel starts from rest and attains an angular velocity of 60 rad/s in 12 seconds under a consta...
A flywheel starts from rest and attains an angular velocity of 60 rad/s in 12 seconds under a consta...
A disc with moment of inertia 0.5 kg·m² rotates about its central axis at an angular velocity of 4 r...
A disc with moment of inertia 0.5 kg·m² rotates about its central axis at an angular velocity of 4 r...
A grinding wheel with moment of inertia 2 kg·m² experiences a constant net torque of 10 N·m about it...
A grinding wheel with moment of inertia 2 kg·m² experiences a constant net torque of 10 N·m about it...
About This Question
- Subject
- physics
- Chapter
- rotational motion
- Topic
- relation between linear and angular
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
4 rad/s
The relationship between linear velocity v and angular velocity ω for a point at radius r is: v=rω Given:
- v=2 m/s
- r=0.5 m Rearranging to solve for ω: ω=rv=0.5 m2 m/s=4 rad/s.
This easy difficulty physics question is from the chapter rotational motion, covering the topic of relation between linear and angular. It appeared in the 2025 exam.
Looking for more practice? Explore all physics questions or browse rotational motion questions on RankGuru.