Question

A wheel starts from rest and spins with a constant angularacceleration. As time goes on the acceleration vector for a pointon the rim:

A. decreases in magnitude and becomes more nearly tangent tothe rim
B. decreases in magnitude and becomes more nearly radial
C. increases in magnitude and becomes more nearly tangent tothe rim
D. increases in magnitude and becomes more nearly radial
E. increases in magnitude but retains the same angle with thetangent to the rim

Answer 1

E

Step-by-step explanation:

As we know that angular acceleration α and tangential acceleration at given as

at = α r

r=Radius of wheel

The tangential acceleration a is the rate of change of linear speed of the wheel

`at=(dv)/(dt)`

`(dv)/(dt)=\alpha .r`

We also know that radial acceleration ar

`ar=(v^2)/(r)`

So when the time goes on then the angular speed of the wheel will increase due to this the linear and acceleration vector of the wheel will also increase.But the the angle will remain same form the tangent of the rim.

So the option E is correct.

Answer 2

The answer is E

Step-by-step explanation:

As time goes on the acceleration vector for a pointon the rim increases in magnitude but retains the same angle with thetangent to the rim