Please show work also. Thank You. The Giant Swing at a county fair consists of a
ID: 1281426 • Letter: P
Question
Please show work also. Thank You.
The Giant Swing at a county fair consists of a vertical central shaft with a number of horizontal arms attached at its upper end. Each arm supports a seat suspended from a 5 00m -long cable, the upper end of which is fastened to the arm. Take R = 2.10 .m Find the time of one revolution of the swing if the cable supporting the seat makes an angle of Theta = 36.0 degree with the vertical. t= Does the angle depend on the weight of the passenger for a given rate of revolution?Explanation / Answer
g tan theta = v2 / (2.10 + 5 sin theta)
v = sqrt [9.8 * tan 36 * (2.10 + 5 sin theta) ] = 5.99 m/s
T = 2 pi r / v = (2 pi * (2.10 + 5 sin 36) ) / 5.99
= 5.29 s
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no
because we weren't ever given the specific weight or mass of the person
we found mg by using T cos 36 therefore the angle is not dependent on the weight.