The acceleration of a motor car is 8m/s² . If the diameter of its wheel be 2m. Its angular acceleration will be
Correct answer: A. 8rad/s2
- A. 8rad/s2
- B. 10m/s2
- C. 16rad/s2
- D. 10rad/s2
Explanation
The angular acceleration of the wheel is correctly calculated as 8 radians per second squared. This is determined by converting the linear acceleration to the angular acceleration using the formula provided in the main explanation. The correct answer is Option A. Options B, C, and D are incorrect as they either miscalculate the conversion or misapply the formula.a = r∝r = d/2 = 2/2 = 1m∝ = a/r = 8/1 => ∝ = 8 rad/sec²
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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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