A particle of rigid body is at a distance 0.1m from axis of rotation to rotate with linear speed 3m/s. What is angular speed of the rigid body?
Correct answer: B. 30rads-1
- A. 0.3rad/s
- B. 30rads-1
- C. 3 rad/s
- D. 1.5rad/s
Explanation
Angular speed is calculated using the formula ω = v / r. In this case, with v = 3 m/s and r = 0.1 m, we find ω = 3 m/s / 0.1 m = 30 rad/s. This is the correct angular speed of the rigid body. The other options provide incorrect calculations or use the wrong values, leading to inaccurate results.
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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.
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