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Luigi twirls a round piece of pizza dough overhead with a frequency of
60 revolutions per minute. a) Find the linear speed of a stray piece of
pepperoni stuck on the dough 10. cm from the pizza's center. b) In what
direction will the pepperoni move if it flies off while the pizza is spinning?

Sagot :

Pstnonsonjokuidn

The linear speed of the pepperoni is 0.628 m/s. Its direction is tangential to the circle.

We know that;

v = rω

r = radius of the piece = 10 cm or 0.1 m

ω = angular velocity

We have to convert 60 revolutions per minute to radians per second

1 rev/min = 0.10472 rad/s

60 revolutions per minute = 60 rev/min × 0.10472 rad/s/1 rev/min

= 6.28 rad/s

v =  0.1 m ×  6.28 rad/s

v = 0.628 m/s

The direction of this velocity is tangential to the circle.

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