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Physics Examples

ω = \frac{Δ θ}{t}

$ω = \frac{Δ θ}{t}$

$ω$ $ω$	$=$ $=$	$?$ $?$
$t$ $t$	$=$ $=$	$60 s$ $60 s$

Step 1

Substitute the given values into

ω = \frac{Δ θ}{t}

$ω = \frac{Δ θ}{t}$ .

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Step 1.1

Substitute

2 π rad

$2 π rad$ for

Δ θ

$Δ θ$ .

ω = \frac{2 π rad}{t}

$ω = \frac{2 π rad}{t}$

Step 1.2

Substitute

60 s

$60 s$ for

t

$t$ .

ω = \frac{2 π rad}{60 s}

$ω = \frac{2 π rad}{60 s}$

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

$2$ and

60

$60$ .

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Step 2.1.1

Factor

2

$2$ out of

2 π rad

$2 π rad$ .

ω = \frac{2 (π rad)}{60 s}

$ω = \frac{2 (π rad)}{60 s}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor

2

$2$ out of

60 s

$60 s$ .

ω = \frac{2 (π rad)}{2 (30 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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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$