In this worksheet, we will practice writing an equation to describe joint variation and using proportions to find other sets of values to solve real-world problems.
Q1:
The kinetic energy of a moving object varies jointly with its mass and the square of its velocity
. If an object weighing 40 kilograms with a velocity of 15 meters per second has a kinetic energy
of 1,000 joules, find the kinetic energy if the velocity is increased to 20 meters per second.
Q2:
The horsepower (hp)
that a shaft can safely transmit varies jointly with its speed in revolutions per minute
(rpm) and the cube of the diameter.
A shaft with a diameter of 3 inches
can transmit 45 hp at
100 rpm.
What is the diameter of a shaft that can transmit 60 hp
at 150 rpm?
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