A ballerina does a spin. a) Strating from rest, she accelerates to an angular velocity of...

A ballerina does a spin. a) Strating from rest, she accelerates to an angular velocity of 15.7 radians per seconds in 1.2 seconds. she maintains velocity for 1.0 more seconds. How far does she turn in total? Give your answer in number of rotation

b) As she spins she is balanced on an area of her shoe with diameter 3.0cm. Here center of gravvity is located 2.5 feet above the ground and in the equilibrium postion is centered horizontally. How far can she tilt before she will fall over?

Expert Solution

A ballerina does a spin. a) Strating from rest, she accelerates to an angular velocity of 15.7 radians per seconds in 1.2 seconds. she maintains velocity for 1.0 more seconds. How far does she turn in total? Give your answer in number of rotation

w0 = initial angular velocity = 0

= 15.7 rad/s / 1.2 = 13.083 rad/s²

= 0.5 * 13.083 * 2.2*2.2 ( 2.2s = 1.2 s +1.0s)

= 31.66 rad

1 radian (rad) = 0.16 rotations (rot)

= 5.04 rotations

genius_generous answered 2 years ago

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