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Homework Help: Physics to drwls question to answer given earlier

Posted by Angelina on Friday, February 17, 2012 at 11:16pm.

A 0.700-kg ball is on the end of a rope that is 0.90 m in length. The ball and rope are attached to a pole and the entire apparatus, including the pole, rotates about the pole's symmetry axis. The rope makes an angle of 70.0 with respect to the vertical as shown. What is the tangential speed of the ball?

physics - Angelina, Friday, February 17, 2012 at 12:00am

I was thinking that it would be .90tan(70)=2.47 m/s^2 but I am wrong so I don't know how to do this...

physics - drwls, Friday, February 17, 2012 at 2:28am

Let the rope tension be T.

T sin70 = M V^2/R
T cos70 = M g
Now, divide the first equation by the second one.
tan70 = V^2/(R*g)

V^2 = (0.90)(9.8)(2.747)= 24.23 m^2/s^2
V = 4.92 m/s

Your answer does not have the dimensions of velocity, and must depend upon g.

physics - Angelina, Friday, February 17, 2012 at 4:34pm

What is the tangential speed of the ball?

thnks but i tried both 24.23m^2/s^2 and 4.92 n neither are right i dont understand whats wrong

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