A) If A = BC^2 where A has a unit of m/s and C has a unit of s, then what are th
ID: 2126975 • Letter: A
Question
A) If A = BC^2 where A has a unit of m/s and C has a unit of s, then what are the units for B?
B) During a short interval of time the velocity v in m/s of an automobile is given by v = -2.0t + 4.0t^3, where time t is in second.
What are the units for -2.0 and 4.0?
What are the dimensions of -2.0 and 4.0, in terms of L, M and T?
C) A certain physical quantity, R, is calculated using the formula: R = 4a^2 (b - c) where a is speed (a distance traveled per unit time interval) and b and c are distances. What are the SI units for R?
Explanation / Answer
A)
A=BC^2
m/s = B*s^2
unit of B = m/s^3
B)
units for -2.0 = m/s^2
nits for 4.0 = m/s^4
Dimension of -2.0 = [M^0 L^1 T^-2]
Dimension of 4.0 = [M^0 L^1 T^-4]
C)
R = 4a^2 (b - c)
unit of R = (m/s)^2*m = m^3/s^2
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