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Physics Examples

$ω = \frac{Δ θ}{t}$

$ω$	$=$	$?$
$t$	$=$	$4 s$

Step 1

Substitute the given values into $ω = \frac{Δ θ}{t}$ .

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Substitute $8 rad$ for $Δ θ$ .

$ω = \frac{8 rad}{t}$

Substitute $4 s$ for $t$ .

$ω = \frac{8 rad}{4 s}$

$ω = \frac{8.0 rad}{4.0 s}$

Step 2

Simplify the right side.

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Cancel the common factor of $8.0$ and $4.0$ .

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Factor $4.0$ out of $8.0 rad$ .

$ω = \frac{4.0 (2 rad)}{4.0 s}$

Cancel the common factors.

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Factor $4.0$ out of $4.0 s$ .

$ω = \frac{4.0 (2 rad)}{4.0 (1 s)}$

Cancel the common factor.

$ω = \frac{4.0 (2 rad)}{4.0 (1 s)}$

Rewrite the expression.

$ω = \frac{2 rad}{1 s}$

$ω = \frac{2 rad}{1 s}$

$ω = \frac{2 rad}{1 s}$

Rewrite the expression.

$ω = 2 \frac{rad}{s}$

$ω = 2 \frac{rad}{s}$

Step 3

Round to $2$ significant figures.

$ω = 2.0 \frac{rad}{s}$

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