Engineering High School

A gear train has a ratio of 40/24 and the driving gear is turning 100 RPM.
What is the speed of the driven gear in RPM?

Answers

Answer 1

Answer:

S2 = 60 RPM.

Explanation:

Given the following data;

Gear ratio = 40/24 (T2 = 40 and T1 = 24).

Speed of driving gear = 100 RPM

To find the speed of the driven gear;

Mathematically, gear ratio in terms of speed (RPM) is given by this formula;

[tex] S_{1} * T_{1} = S_{2} * T_{2} [/tex]

Where;

S1 represents the speed of the driver gear.S2 represents the speed of the driven gear.T1 represents the number of teeth of the driver gear.T2 represents the number of teeth of the driven gear.

Substituting into the equation, we have;

[tex] 100 * 24 = S_{2} * 40[/tex]

[tex] 2400 = 40S_{2} [/tex]

[tex] S2 = \frac {2400}{40} [/tex]

S2 = 60 RPM.

Therefore, the speed of the driven gear is 60 revolutions per minute.

Related Questions

which of the following best describes the mechanical energy of an object?

Answers

In other words, an object possesses mechanical energy when it has the ability to do work due to its position or motion. Mechanical energy can take the form of either kinetic energy, which is energy due to an object's motion, or potential energy, which is stored energy due to an object's position.

Some examples of mechanical energy are:

Hydro power plantCyclingWrecking balls, etc

What is Mechanical Energy?

This refers to the type of energy that an object or mass possesses based on its motion and can either be potential or kinetic energy.

Therefore, mechanical energy can be represented mathematically as: [tex]E_{mechanical}[/tex] = U + K

Where U= potential energy

K= kinetic energy

Read more about mechanical energy here:

https://brainly.com/question/24443465

#SPJ2

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