A spinning top rotating with an angular velocity of 62.8 rad / s fell freely from a table 1 m high. How many revolutions will the top make during the free fall?
First – I will convert rad / s to rpm:
1 rad / s = 9.549 rpm
62.8 rad / s = 62.8 * 9.549 rpm
62.8 rad / s = 599.696 rpm
Free fall time formula:
t = √ (2 * h / g) = √ (2 * 1 / 9.8) = 0.45175 c. – time of the top falling
0.45175 s. = 0.45175 / 60 min = 0.00753 min
NB = Ww * t = 599.696 rpm * 0.00753 min = 4.515
NB = 4.515 – the top made revolutions during the fall
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