A wheel sensor registers that the wheel has turned through radians during a test run
PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion
Problem
A wheel sensor registers that the wheel has turned through 37.68π radians during a test run. The wheel has radius 0.50m.
(i) Find the number of complete revolutions executed by the wheel.
(ii) Calculate the angular measure, in radians, of the rotation remaining after the last complete revolution. Leave your answer as a decimal multiple of π.
(iii) Convert the remaining angle obtained in part (ii) into degrees, rounding to the nearest minute.
(iv) Determine the linear distance travelled by a point on the rim of the wheel during this remaining part of the motion. Leave the answer in terms of π.