Ursula and her friends are playing hoop rolling. ursula rolls a large hoop on the ground. the hoop rotates 3/2pi radians in one second. how many revolutions does it make in 1 minute

Question

Tyrese Trujillo

Mathematics

10 April, 03:57

Ursula and her friends are playing hoop rolling. ursula rolls a large hoop on the ground. the hoop rotates 3/2pi radians in one second. how many revolutions does it make in 1 minute

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Willow Mercado · Answer 1

If the hoop rotates (3/2) * pi radians in 1 second, then we multiply by 60 seconds to get the angular distance it rotates in 1 minute:

(3/2) * pi*60 = 90*pi radians in 1 minute.

Then since 1 revolution has 2*pi radians, we divide 90*pi/2*pi = 45 (with no remainder). Therefore, the hoop makes 45 revolutions per minute.