Physics Examples

Find the Frequency
Step 1
Solve for .
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Step 1.1
Rewrite the equation as .
Step 1.2
Find the LCD of the terms in the equation.
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Step 1.2.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 1.2.2
The LCM of one and any expression is the expression.
Step 1.3
Multiply each term in by to eliminate the fractions.
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Step 1.3.1
Multiply each term in by .
Step 1.3.2
Simplify the left side.
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Step 1.3.2.1
Cancel the common factor of .
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Step 1.3.2.1.1
Cancel the common factor.
Step 1.3.2.1.2
Rewrite the expression.
Step 1.4
Solve the equation.
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Step 1.4.1
Rewrite the equation as .
Step 1.4.2
Divide each term in by and simplify.
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Step 1.4.2.1
Divide each term in by .
Step 1.4.2.2
Simplify the left side.
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Step 1.4.2.2.1
Cancel the common factor of .
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Step 1.4.2.2.1.1
Cancel the common factor.
Step 1.4.2.2.1.2
Divide by .
Step 2
Substitute the given values into .
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Step 2.1
Substitute for .
Step 2.2
Substitute for .
Step 3
Simplify the right side.
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Step 3.1
Factor out of .
Step 3.2
Cross cancel units.
Step 3.3
Simplify the expression.
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Step 3.3.1
Remove the canceled units.
Step 3.3.2
Divide using scientific notation.
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Step 3.3.2.1
Group coefficients together and exponents together to divide numbers in scientific notation.
Step 3.3.2.2
Divide by .
Step 3.3.2.3
Divide by .
Step 3.3.3
Combine and .
Step 3.3.4
Move the decimal point in to the left by place and increase the power of by .
Step 3.3.5
Rewrite as .
Step 3.3.6
Convert to decimal.
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Step 3.3.6.1
Raise to the power of .
Step 3.3.6.2
Multiply by .
Step 4
Round to significant figures.
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