Question Detail

PHY 101 Circular Motion Objective Question

Question

A conical pendulum has a string of length L and makes an angle θ with the vertical. The radius r of the horizontal circle is given by:
Options
A r = L sin θ
Correct Answer
B r = L cos θ
C r = L tan θ
D r = L / sin θ
Correct Answer

Option A is the correct answer.

Detailed Explanation

From the geometry of the conical pendulum diagram described, the string of length L is the hypotenuse, the vertical leg is L cos θ, and the horizontal radius r is the opposite side, so r = L sin θ.

Hint

Imagine the string as the hypotenuse of a right triangle. The radius of the circle is the side opposite to the angle θ.

Question Info