A displacement is related to time as x = A sin(2?ft), where A and f are constants. Find the dimensions of A. [Hint: A trigonomet
ric function appearing in an equation must be dimensionless.]
A. L * T
B. L / T
C. L
D. T / L
E. T
1 answer:
Answer:
The right option is C. i.e L
Explanation:
Dimension of a quantity is the collection of the indexes of each of the fundamental quantities contained in it.
Therefore, to get the dimension of A in the equation
X=Asin(2(pi)ft)
Making A the subject of the formula
A = X / (sin(2(pi)ft)
Since sin(2(pi)ft which is a trigonometric function does not have a dimension
A = L
The dimension of A is L
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