Question

A conical pendulum is formed by attaching a ball of mass m to a string of length L, then allowing the ball to move in a horizontal circle of radius r. The following figure(Figure 1) shows that the string traces out the surface of a cone, hence the name.

Part A: Find an expression for the tension T in the string.

Express your answer in terms of the variables L,m,r and appropriate constants.

Part B: Find an expression for the ball's angular speed?.

Express your answer in terms of the variables L,r and appropriate constants.

What is the tension for a 500g ball swinging in a 20-cm-radius circle at the end of a 1.0-m-long string?

Express your answer to two significant figures and include the appropriate units.

What is angular speed (in rpm) or a 500g ball swinging in a 20-cm-radius circle at the end of a 1.0-m-long string?

Express your answer to two significant figures and include the appropriate units.

Answer 1