Questions about Chapter 1: Measurement.
pipe delivers 600 gallons of water per minute.
How long does it take to fill a swimming pool having a rectangular base
of 10 m x 10 m and a depth of 2 m ? Give your answer in minutes. [ 1
Gallon = 3.79 liters ; 1 liter = 1000 cm3
is a physical quantity with dimensions equal to the dimension of mass
multiplied by the dimension of acceleration.
Suppose the force acting on an object is given by
= K ma vb xc
m, v and x have the dimensions of mass, velocity and distance, respectively.
K is a dimensionless constant. Use dimensional analysis to find the numerical values of the
constants a, b and c.
the density of nitrogen gas, r
, in a container that measures 1.0mx2.0mx4.0m
is 1/800 that of water, and r (
water ) = 1.0 g/cm3.
Find the number of nitrogen molecules in the container, given that the
molecular weight of nitrogen
M = 28 g and Avogadro’s number is NA = 6.02x1023
acceleration “ a ” of a particle is given by the following equation
a = B v2 + ( s C ) / t2
where v is the velocity, t is the time and s is the displacement. Determine the dimensions of B and C.
ANS: unit of B is 1/m and C is dimensionless.