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jklgfds120
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Homework Statement
An athlete performs a dive from a handstand off a 10m tower. her center of mass is 0.8m above the tower as she falls into the dive
a) if she can rotate at 5.7rad/s in a tucked position, how many complete somersaults can she do in her dive? assume she must stop rotating 1m above the water to ensure clean entry
b) if she can perform 3 somersualts in a piked position in the same amount of time, what is her angular velocity when performing piked somersautls?
c) the diver is performing a piked dive. she realizes that she won't have enough time to finish her last somersialt and enter the water in a vertical position, so she moves into a tucked position over 0.2s. What is her anguar accel
Homework Equations
v2^2 = v1^2 + 2ad
v2 = v1 +at
angular vel = change in angular displacement / time
alpha = (w2 - w1)/ (t2 - t1)
The Attempt at a Solution
a) i used, v2^2 = v1^2 + 2ad to determine that v2 = - 13.87m/s 1m from the water
and then i used, v2 = v1 +at to determine it take t= 1.41s to reach 1m above water
can i use kinematic laws in this question, or does the diver's somersaults complicate the question?
i then used 5.7rad/s x 1.41s = 8.0569 rad
8.0569rad x 1somersault/2pie radians = 12.66 somersaults (12 complete somersaults)
*EDIT* 8.0569rad x1somersault/2pie rad = 1.28 somersaults (1 complete somersualt)
is it correct to do this?
or would the t = 1s since she has 9.8m to perform somersualts and gravity is -9.81m/s^2?
b) i tired to use, w = change is angular displacement/ t
is angular displacement 0 since she returns to the same position (3 full somersuats)?
c) i tried alpha = (w2 - w1)/ (t2 - t1)
i was going to plug in, 5.7rads/s for w2, and my answer in question b) into w1
and then t= 0.2s
any help would be appreciated =) thank you
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