A wheel of radius 50 cm having an angular speed of 5rads-1 has linear speed:
Correct answer: D. 2.5ms1
- A. 1.5ms1
- B. 3.5ms1
- C. 4.5ms1
- D. 2.5ms1
Explanation
The correct option is 2.5ms_1 To calculate the linear speed of the wheel, we can use the following formula: v = ωr where: v is the linear speed in meters per second (m/s) ω is the angular speed in radians per second (rad/s) r is the radius of the wheel in meters (m) In this case, we have: ω=5rad/s r=50cm=0.5m Therefore, the linear speed of the wheel is: v = (5 rad/s)(0.5 m) = 2.5 m/s
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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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