Convert ton of tnt to cubic yard of atmosphere

Learn how to convert 1 ton of tnt to cubic yard of atmosphere step by step.

Calculation Breakdown

Set up the equation

1.0 (t o n o f t n t) = x (c u b i c y a r d o f a t m o s p h e r e)

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

(j o u l e)

Left side: 1.0 (t o n o f t n t) = 4.184 \times 10^{9} (j o u l e) = 4.184 \times 10^{9} (J)

Right side: 1.0 (c u b i c y a r d o f a t m o s p h e r e) = 77468.5209852288 (j o u l e) = 77468.5209852288 (J)

Insert known values into the conversion equation to determine

x

1.0 (t o n o f t n t) = x (c u b i c y a r d o f a t m o s p h e r e)

Insert known values =>

1.0 \times 4.184 \times 10^{9} \times (j o u l e) = x \times 77468.5209852288 \times (j o u l e)

Or

1.0 \cdot 4.184 \times 10^{9} \cdot (J) = x \cdot 77468.5209852288 \cdot (J)

Cancel SI units

1.0 \times 4.184 \times 10^{9} \cdot (J) = x \times 77468.5209852288 \times (J)

Conversion Equation

4.184 \times 10^{9} = x \times 77468.5209852288

Switch sides

x \times 77468.5209852288 = 4.184 \times 10^{9}

Isolate

x

Multiply both sides by

(\frac{1.0}{77468.5209852288})

x \times 77468.5209852288 \times \frac{1.0}{77468.5209852288} = 4.184 \times 10^{9} \times \frac{1.0}{77468.5209852288}

Cancel

x \times 77468.5209852288 \times \frac{1.0}{77468.5209852288} = 4.184 \times 10^{9} \times \frac{1.0}{77468.5209852288}

Simplify

x = \frac{4.184 \times 10^{9}}{77468.5209852288}

Solve

x

x \approx 54009.034209 \approx 5.4009 \times 10^{4}

Conversion Equation

1.0 (t o n o f t n t) \approx 5.4009 \times 10^{4} (c u b i c y a r d o f a t m o s p h e r e)

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