Does a feather fall as fast as a rock in a vacuum? If so why?
1 answer:
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a. 7.0 m/s
First of all, we need to convert the angular speed (1200 rpm) from rpm to rad/s:
Now we know that the row is located 5.6 cm from the centre of the disc:
r = 5.6 cm = 0.056 m
So we can find the tangential speed of the row as the product between the angular speed and the distance of the row from the centre of the circle:
b.
The acceleration of the row of data (centripetal acceleration) is given by
where we have
v = 7.0 m/s is the tangential speed
r = 0.056 m is the distance of the row from the centre of the trajectory
Substituting numbers into the formula, we find