A conical pendulum is formed by attaching a 700 g ball to a1.0-m-long string, th

Question

A conical pendulum is formed by attaching a 700 g ball to a1.0-m-long string, then allowing the mass to move in a horizontal circle of radius 40 cm . The figure (Figure 1)shows that the string traces out the surface of a cone, hence the name.

Part A

What is the tension in the string?

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

Part B

What is the ball's speed?

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

Part C

What is the period of the ball's orbit?

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

A conical pendulum is formed by attaching a 700 g ball to a1.0-m-long string, then allowing the mass to move in a horizontal circle of radius 40 cm . The figure (Figure 1)shows that the string traces out the surface of a cone, hence the name.

Part A

What is the tension in the string?

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

Part B

What is the ball's speed?

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

Part C

What is the period of the ball's orbit?

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

Explanation / Answer

let theta be the angle made by the strng with the vertical

sintheta = r/L

sintheta = 0.4/1

theta = 23.6 degrees

along vertical

T*costheta = mg

T*cos23.6 = 0.7*9.8

T = 7.5 N <<<<<<<--answer

+++++++

B)

along horizantal

m*v^2/r = T*sintheta

0.7*v^2/0.4 = 7.5*sin23.6

v = 1.31 m/s <<-----answer

(C)

time period T = 2*pi*r/v

T = (2*pi*0.4)/1.31 = 1.92 s

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