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Lesson: Joint Variation and its Applications

In this lesson, we will learn about joint variation, how to write an equation to describe it, and use proportions to find other sets of values, and we learn how to apply this to solve real-world problems.

Worksheet: Joint Variation and its Applications • 2 Questions

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 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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