Question

The tangential acceleration of a cart moving at a constant speed in a horizontal circle is:

Answer 1

Answer:

$a=0$                                  ∵ $\alpha=0\ rad.s^{-1}$

Explanation:

The tangential acceleration of a cart moving at a constant speed in a circle is:

The angular velocity is constant when the circular speed is constant.

We know that the (instantaneous) tangential velocity of such object is given by:

$v=r.\omega$

Now for angular acceleration we have a constant angular speed:

$\alpha=0\ rad.s^{-1}$

And angular acceleration is related to tangential acceleration as:

$a=r.\alpha$

$\Rightarrow a=0$