What is the dimension of c3 in s=cs cos(c4t)

Thread starter dovec
Start date Jan 22, 2010
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Dimension

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In the equation s = c3 cos(c4t), the left side represents a distance with the dimension of length [L]. The cosine function is dimensionless, which means that the right side must also equate to [L]. Therefore, the dimension of c3 must also be [L] to ensure both sides of the equation are consistent. This confirms that c3 has the same dimension as s, which is length. The discussion emphasizes the importance of dimensional analysis in validating equations.

Jan 22, 2010

dovec

Find the dimension for the quantity c3 in the expression s=c3 cos (c4t). Please someone help me solve this, s is a distance with unit L, t is a time with unit T and theta is an angle in radians.

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Jan 22, 2010

Stonebridge

The dimensions must be the same on both sides of a valid equation.
Left side you just have [L] Length.
Right side: cos(anything) is dimensionless, leaving just c3.

Jan 23, 2010

dovec

Thanks

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