A drive shaft has a speed 150pi radians a second. What is the speed in RPM?
- 4500.
- 9000.
- 1500.
Explanation
To convert from rad/s to RPM, multiply by 60 / (2 pi). So 150 pi x 60 / (2 pi) = 150 x 30 = 4500 RPM. Each revolution is 2 pi radians, and there are 60 seconds in a minute.
Mickyg1986 asking:
Can somebody explain this please?
Community Comments (2)
Z
zoom77 Posts: 6 22.06.2017 / 17:31
150pi=x*2pi/60 ; divided for pi and then x= 60*150/2=4500
J
JD2016 Posts: 54 25.06.2017 / 18:58
There are 2 x Pi radians in a full circle. (Pi= 3.14... or 22/7). Rotational speed given in radians per second so divide by 2 Pi to get revolutions per second (rev/s). Multiply that by 60 to get revolutions per minute (RPM).
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