Question

A block travels on a stationary horizontal table with increasing speed in a circle as seen from an
inertial frame. The angle between net force on block and velocity vector is
(A) greater than 90°
(B) less than 90°
(C) equal to 90°
(D) data is insufficient​

Answer 1

(C) equal to 90°

Explanation:

During the circular motion of a mass the velocity is continuously changing under the influence of a force directed towards the center of the trajectory of motion.

During circular motion the instantaneous linear velocity is in tangential direction of the trajectory of motion.

The magnitude of the centripetal force on mass 'm' rotating with the angular velocity 'ω' in the circular path of radius 'r' is given as:

$F_C=m.r.\omega^2$

The instantaneous velocity is given as:

$v=r.\omega$

TOPIC: Centripetal force, angular velocity

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