Question

Homework: An object travels in a circular path of radius r at a constant speed v. What happens tothe object’s acceleration if the speed is doubled and the radius stays unchanged?A. It doublesB. It quadruplesC. It is cut to a halfD. It is cut to a quarter

Answer 1

Angular acceleration of an object is given by

`\begin{gathered} \alpha=\text{ }(\omega)/(t) \\ \alpha=\text{ }(v)/(rt)\begin{cases}w={(v)/(r)} \\ \end{cases} \\ \end{gathered}`

Here,

α= angular acceleration;

ω= angular velocity;

v= linear velocity;

t= time

Now according to above relation we can conclude that when speed is doubled and radius stays unchanged then acceleration will be doubled .

Correct answer is :- A)It doubles