Question

A person slams a door. How wouldincreasing the width of the door affectits acceleration?Assume that all other variables are kept constant.A. it would increaseB. it would be unaffectedC. it would decrease

Answer 1

C. it would decrease

Step-by-step explanation

Step 1

Diagram

Torque is a measure of the force that can cause an object to rotate about an axis. Just as force is what causes an object to accelerate in linear kinematics, torque is what causes an object to acquire angular acceleration

The angular acceleration is the time rate of change of the angular velocity and is usually designated by α and expressed in radians per second per second, it is given by the expression:

`\begin{gathered} a_r=(v^2)/(r) \\ whrere\text{ r is the radius, } \\ \end{gathered}`

so, if we increase the radius the radius , the acceleration would decrease because it is inversely proportional to the radius

`\begin{gathered} r_2>r_1 \\ a_r=(v^2)/(r_2) \\ so \\ a_2\leq a_1 \end{gathered}`

therefore, the answer is

C. it would decrease

I hope this helps you