Asked by Ms Kay
A car is moving at the rate of 80km/h. the diameter of its wheel is 60cm. a, find the number of revolutions per minute that the wheels are rotating. b, find the angular speed of the wheels in radians per second.
Answers
Answered by
Reiny
60 cm = .6 m
one rotation = .6π m
80 km/h = 80,000 m/60 min = 400/3 m/min
number of rotations/min
= (400/3) / (.6π)
= 70.7 rotations in a minute
or 70.7/60 rotations per minute
= 1.1789 rotations per second
but 1 rotation = 2π radians,
so the angular velocity = 2π(1.1789..) radians/sec
= appr 7.4 radians/sec
check my arithmetic
one rotation = .6π m
80 km/h = 80,000 m/60 min = 400/3 m/min
number of rotations/min
= (400/3) / (.6π)
= 70.7 rotations in a minute
or 70.7/60 rotations per minute
= 1.1789 rotations per second
but 1 rotation = 2π radians,
so the angular velocity = 2π(1.1789..) radians/sec
= appr 7.4 radians/sec
check my arithmetic
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.