Question

The linear and angular acceleration of a particle are 10 m/sec^2 and 5 rad/sec^2 respectively. It will be at a distance from the axis of rotation:
a. 50m
​b. 1/2m
c. 1m
d. 2m

***I want answer with full solution as soon as possible***

Answer 1

Given, linear acceleration of the particle = 10m/ sec^2, angular acceleration of the particle = 5rad/ sec^2, Distance from the axis of rotation =?

The formula to find liner acceleration = angular acceleration * radius (a distance of the object or particle from the axis of rotation).

We have to alter the formula as per our needs i.e. radius = liner acceleration/angular acceleration

=> 10/5 = 2m Therefore, answer d is correct.

Answer 2

Answer:

D) 2m

Explanation:

Given, linear acceleration, a = 10 m/sec²

           angular acceleration, α = 5 rad/sec²

Let, r be the distance of particle from axis of rotation.

We know that,  α = a / r

So, r = 10/5 = 2 m

Thus, option (D) is correct.