Convert revolution / minute to revolution / second

Learn how to convert 1 revolution / minute to revolution / second step by step.

Calculation Breakdown

Set up the equation
1.0(revolutionminute)=x(revolutionsecond)
Define the base values of the selected units in relation to the SI unit (radiansecond)
Left side: 1.0 (revolutionminute)=π30.0(radiansecond)=π30.0(rads)
Right side: 1.0 (revolutionsecond)=2.0×π(radiansecond)=2.0×π(rads)
Insert known values into the conversion equation to determine x
1.0(revolutionminute)=x(revolutionsecond)
Insert known values =>
1.0×π30.0×(radiansecond)=x×2.0×π×(radiansecond)
Or
1.0π30.0(rads)=x2.0×π(rads)
Cancel SI units
1.0×π30.0(rads)=x×2.0×π×(rads)
Conversion Equation
π30.0=x×2.0×π
Cancel factors on both sides
Cancel factors
π30.0=x×π×2.0
Simplify
1.030.0=x×2.0
Switch sides
x×2.0=1.030.0
Isolate x
Multiply both sides by (1.02.0)
x×2.0×1.02.0=1.030.0×1.02.0
Cancel
x×2.0×1.02.0=1.0×1.030.0×2.0
Simplify
x=1.030.0×2.0
Solve x
x0.01666666671.6667×102
Conversion Equation
1.0(revolutionminute)1.6667×102(revolutionsecond)

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