A fan blade has a tip located from the axis of rotation

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A fan blade has a tip located

0.20\,\text{m}

from the axis of rotation. At one instant the blade is spinning at

10\,\text{rad/s}

, and the linear acceleration of the tip makes a

37^{\circ}

angle with the direction of the tip’s instantaneous velocity. What is the magnitude of the angular acceleration of the blade at that instant? (a)

7.5\times10^{1}\,\text{rad/s}^2

(b)

1.0\times10^{2}\,\text{rad/s}^2

(c)

1.5\times10^{2}\,\text{rad/s}^2

(d)

1.5\times10^{1}\,\text{rad/s}^2