Max (15 kg) pushes Maya (12 kg) on a swing so that Maya moves in simple harmonic motion. The swing is 1.8 meters long and has a
2 answers:
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Answer:
a) For P:
For Q:
b) For P:
for Q:
c) As the distance from the axis increases then speed increases too.
Explanation:
a) Assuming constant angular acceleration we can find the angular speed of the wheel dividing the angular displacement θ between time of rotation:
One rotation is 360 degrees or 2π radians, so θ=2π
Angular acceleration is at every point on the wheel, but speed (tangential speed) is different and depends on the position (R) respect the rotation axis, the equation that relates angular speed and speed is:
for P:
for Q:
b) Centripetal acceleration is:
for P:
for Q:
c) As seen on a) speed and distance from axis is because ω is constant the if R increases then v increases too.