Baseball pitching machines such as shown in are used to fire baseballs toward a batter for hitting practice. In one kind of machine, the ball is fed between two wheels that are rapidly rotating in opposite directions; as the ball is pulled in between the wheels, it rapidly accelerates up to the speed of the wheels' rims, at which point it is ejected. Part A For a machine with 35-cm-diameter wheels, what rotational frequency (in rpm) do the wheels need to pitch a 95 mph fastball? Express your answer in revolutions per minute. f = VE ΑΣΦ ? rpm

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For a machine with 35-cm-diameter wheels, what rotational frequency (in rpm) do the wheels need to pitch a 95 mph fastball?

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Baseball pitching machines such as shown in are
used to fire baseballs toward a batter for hitting
practice. In one kind of machine, the ball is fed
between two wheels that are rapidly rotating in
opposite directions; as the ball is pulled in between
the wheels, it rapidly accelerates up to the speed of
the wheels' rims, at which point it is ejected.
Part A
For a machine with 35-cm-diameter wheels, what rotational frequency (in rpm) do the wheels need to pitch
a 95 mph fastball?
Express your answer in revolutions per minute.
f =
Π ΑΣΦ
W
?
rpm
Transcribed Image Text:Baseball pitching machines such as shown in are used to fire baseballs toward a batter for hitting practice. In one kind of machine, the ball is fed between two wheels that are rapidly rotating in opposite directions; as the ball is pulled in between the wheels, it rapidly accelerates up to the speed of the wheels' rims, at which point it is ejected. Part A For a machine with 35-cm-diameter wheels, what rotational frequency (in rpm) do the wheels need to pitch a 95 mph fastball? Express your answer in revolutions per minute. f = Π ΑΣΦ W ? rpm
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