A point on the rim of a wheel 4m in diameter has a velocity of 1600cms-1. The angular velocity of the wheel is
Correct answer: D. 8rads-1
- A. 2rads-1
- B. 4rads-1
- C. 6rads-1
- D. 8rads-1
Explanation
First, convert the linear velocity to m/s: 16 m/s. Then use the formula Linear Velocity = Radius x Angular Velocity to find that the angular velocity is 8 rad/s. The other options are incorrect because they either do not consider the relationship between linear and angular velocity or miscalculate the angular velocity.ω = v/r = 16/2 = 8 rad s⁻¹
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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.
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