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.
