Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

cone A conical pendulum is formed by attaching a 0.80kg ball to a 1.0m -long str

ID: 2183408 • Letter: C

Question

cone

A conical pendulum is formed by attaching a 0.80kg ball to a 1.0m -long string, then allowing the mass to move in a horizontal circle of radius 40cm . The figure (Figure 1) shows that the string traces out the surface of a cone, hence the name. What is the tension in the string? What is the ball's angular velocity, in rpm? Express your answer using two significant figures.

A conical pendulum is formed by attaching a 0.80kg ball to a 1.0m - long string, then allowing the mass to move in a horizontal circle of radius 40cm . The figure (Figure 1) shows that the string traces out the surface of a cone, hence the name. What is the tension in the string? What is the ball's angular velocity, in rpm? Express your answer using two significant figures.

Explanation / Answer

Tcos(angle) = mg,,,,,,,,,, T(0.9)=.8g,,,,,,,,,,,, tension=T=8.7 N,,,,,,,,,,,, Tsin(angle)=mw^2r w=3.3 rad/s =31.5 rpm