Guide To Archery

Release Rope

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a large wheel 50 foot tall with a rope 150foot long wound around it with a 1000 pound weight on the end?

how fast would the rope unwind if it was released so it could free fall

Since no mass is given for the wheel, assuming no inertia of rotating wheel. Also ignoring friction since it is not mentioned.
Basically you have a free faling object, its speed is determined by the equation:
v = g * t = 9.81 * t (m/s)
(t - time in seconds)

Total time of travel (distance 150 ft)
h = 0.5* g * t^2
t = sqrt( 2 * h / g) = sqrt ( 2 * 0.305 * 150 / 9.81) = 3.05 sec

Angular speed of a wheel is:
w = v / r = 9.81 * t / 15.27 = 0.6424 * t (rad/s)

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« Previous12Next »

a large wheel 50 foot tall with a rope 150foot long wound around it with a 1000 pound weight on the end?

how fast would the rope unwind if it was released so it could free fall

Since no mass is given for the wheel, assuming no inertia of rotating wheel. Also ignoring friction since it is not mentioned.
Basically you have a free faling object, its speed is determined by the equation:
v = g * t = 9.81 * t (m/s)
(t - time in seconds)

Total time of travel (distance 150 ft)
h = 0.5* g * t^2
t = sqrt( 2 * h / g) = sqrt ( 2 * 0.305 * 150 / 9.81) = 3.05 sec

Angular speed of a wheel is:
w = v / r = 9.81 * t / 15.27 = 0.6424 * t (rad/s)

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