Convert ton / second to pound / minute

Learn how to convert 1 ton / second to pound / minute step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{t o n}{s e c o n d}) = x (\frac{p o u n d}{m i n u t e})

Define the base values of the selected units in relation to the SI unit

(\frac{k i l o g r a m}{s e c o n d})

Left side: 1.0 (\frac{t o n}{s e c o n d}) = 10^{3} (\frac{k i l o g r a m}{s e c o n d}) = 10^{3} (\frac{k g}{s})

Right side: 1.0 (\frac{p o u n d}{m i n u t e}) = \frac{0.5}{60.0} (\frac{k i l o g r a m}{s e c o n d}) = \frac{0.5}{60.0} (\frac{k g}{s})

Insert known values into the conversion equation to determine

x

1.0 (\frac{t o n}{s e c o n d}) = x (\frac{p o u n d}{m i n u t e})

Insert known values =>

1.0 \times 10^{3} \times (\frac{k i l o g r a m}{s e c o n d}) = x \times \frac{0.5}{60.0} \times (\frac{k i l o g r a m}{s e c o n d})

Or

1.0 \cdot 10^{3} \cdot (\frac{k g}{s}) = x \cdot \frac{0.5}{60.0} \cdot (\frac{k g}{s})

Cancel SI units

1.0 \times 10^{3} \cdot (\frac{k g}{s}) = x \times \frac{0.5}{60.0} \times (\frac{k g}{s})

Conversion Equation

10^{3} = x \times \frac{0.5}{60.0}

Switch sides

x \times \frac{0.5}{60.0} = 10^{3}

Isolate

x

Multiply both sides by

(\frac{60.0}{0.5})

x \times \frac{0.5}{60.0} \times \frac{60.0}{0.5} = 10^{3} \times \frac{60.0}{0.5}

Cancel

x \times \frac{0.5 \times 60.0}{60.0 \times 0.5} = 10^{3} \times \frac{60.0}{0.5}

Simplify

x = \frac{10^{3} \times 60.0}{0.5}

Solve

x

x = 120000 = 1.2 \times 10^{5}

Conversion Equation

1.0 (\frac{t o n}{s e c o n d}) = 1.2 \times 10^{5} (\frac{p o u n d}{m i n u t e})

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