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Physics Examples

$ω = \frac{Δ θ}{t}$

$ω$	$=$	$?$
$t$	$=$	$60 s$

Step 1

Substitute the given values into

$ω = \frac{Δ θ}{t}$ .

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Step 1.1

Substitute

$2 π rad$ for

$Δ θ$ .

$ω = \frac{2 π rad}{t}$

Step 1.2

Substitute

$60 s$ for

$t$ .

$ω = \frac{2 π rad}{60 s}$

$ω = \frac{2 π rad}{60 s}$

Step 2

Simplify the right side.

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Step 2.1

Cancel the common factor of

$2$ and

$60$ .

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Step 2.1.1

Factor

$2$ out of

$2 π rad$ .

$ω = \frac{2 (π rad)}{60 s}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor

$2$ out of

$60 s$ .

$ω = \frac{2 (π rad)}{2 (30 s)}$

Step 2.1.2.2

Cancel the common factor.

$ω = \frac{2 (π rad)}{2 (30 s)}$

Step 2.1.2.3

Rewrite the expression.

$ω = \frac{π rad}{30 s}$

$ω = \frac{π rad}{30 s}$

$ω = \frac{π rad}{30 s}$

Step 2.2

Rewrite the expression.

$ω = \frac{π}{30} \frac{rad}{s}$

$ω = \frac{π}{30} \frac{rad}{s}$

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$