A gear wheel of 20 teeth drives another gear while having 36 teeth running at 200 rpm. Find the speed of the drving wheel and velocity ratio.​

Answer 1

To find the speed of the driving wheel, we can use the formula:

speed of driving wheel = (number of teeth on driven wheel / number of teeth on driving wheel) * speed of driven wheel

Given that the driving wheel has 20 teeth and the driven wheel has 36 teeth, and the speed of the driven wheel is 200 rpm, we can substitute these values into the formula:

speed of driving wheel = (36 / 20) * 200 rpm
speed of driving wheel ≈ 360 rpm

Therefore, the speed of the driving wheel is approximately 360 rpm.

To find the velocity ratio, we can use the formula:

velocity ratio = (number of teeth on driven wheel / number of teeth on driving wheel)

Given that the driving wheel has 20 teeth and the driven wheel has 36 teeth, we can substitute these values into the formula:

velocity ratio = 36 / 20
velocity ratio = 1.8

Therefore, the velocity ratio is 1.8.