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erica [24]
3 years ago
6

The volume of an object as a function of time is calculated by v = At3+B÷t where t is time measured in seconds and v is in cubic

metres. Determine the dimension of the constants A and B.​
Physics
1 answer:
madam [21]3 years ago
3 0

Answer:

A = m³/s³ = [L]³/[T]³ = [L³T⁻³]

B = m³s = [L³T]

Explanation:

We have the equation:

V = At³ + B/t

where, the dimensions of each variable are as follows:

V = m³ = [L]³

t = s = [T]

substituting these in equation, we get:

m³ = A(s)³ + B/s

for the homogeneity of the equation:

A(s)³ = m³

<u>A = m³/s³ = [L]³/[T]³ = [L³T⁻³]</u>

Also,

B/s = m³

<u>B = m³s = [L³T]</u>

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