1. A mass, M = 200 g, that is attached to a string, moves in a horizontal circul
ID: 1693331 • Letter: 1
Question
1. A mass, M = 200 g, that is attached to a string, moves in a horizontal circular path with radius r = 0.5 m. If the speed of the mass is 2 m/s, what is the centripetal acceleration? What is the tension in the string?2. How long does it take the mass to complete one revolution? How many revolutions does the mass complete in 2 min?
3. A tetherball of mass m = 500 g is suspended from a string of length L = 1.5 m. The ball revolves in a horizontal circle moving with constant speed. The rope makes an angle of 300 with the vertical during the motion. Find the speed of the tetherball.
Explanation / Answer
t = 2pr/v = 2p(0.5) / 2 = 1.57 s the no.of revolutions in t = 2min n = 2*60 / 1.57 = 76 rev(3) The mass of the ball m = 0.5kg the length of the ball L = 1.5m Then the tension Tsin? = mv^2/r and Tcos? = mg By dividing the above equations tan? = v^2/rg then the speed v = vrgtan? = v(1.5)(9.8)tan30 = 2.9m/s
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