Question

question 15 (1 point)
you would like to increase the torque output of a motor from ( 0.5 mathrm{~n} cdot mathrm{m} ) to ( 2.5 mathrm{~n} cdot mathrm{m} ). what type of gearing in your gear train would be necessary to do
so?
o a ( 1: 1 )
o b ( 1: 3 )
o c ( 1: 5 )
o d ( 5: 1 )

Explanation:

Step1: Recall the torque - gear ratio relationship

The torque ratio is equal to the gear ratio. Let \(T_1 = 0.5\ N\cdot m\) and \(T_2=2.5\ N\cdot m\). The torque ratio \(\frac{T_2}{T_1}\) gives the required gear ratio.

Step2: Calculate the torque ratio

$$ \frac{T_2}{T_1}=\frac{2.5}{0.5}=5 $$

Answer:

C. 1:5