A wheel of radius 50 cm having an angular speed of 5rads-1 has linear speed:
Correct answer: D. 2.5m/s
- A. 1.5m/s
- B. 3.5m/s
- C. 4.5m/s
- D. 2.5m/s
Explanation
The correct option is 2.5ms-1. To calculate the linear speed of the wheel, we can use the formula v = ωr, where v is the linear speed, ω is the angular speed, and r is the radius of the wheel. In this case, with ω = 5 rad/s and r = 0.5m, the calculation results in v = (5 rad/s)(0.5 m) = 2.5 m/s. Options A, B, and C are incorrect as they do not correctly apply the formula to the given values.
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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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