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.
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.
To find the speed of the driving wheel, we can use the formula for speed:
Speed = (Number of teeth on driven gear / Number of teeth on driving gear) × Speed of driving gear
Given:
Number of teeth on driven gear (output gear) = 36
Number of teeth on driving gear (input gear) = 20
Speed of driven gear = 200 rpm
Substituting these values into the formula:
Speed = (36 / 20) × 200
Simplifying the equation:
Speed = 1.8 × 200
Speed = 360 rpm
So, the speed of the driving wheel is 360 rpm.
To find the velocity ratio, we use the formula:
Velocity Ratio = Number of teeth on driven gear / Number of teeth on driving gear
Given:
Number of teeth on driven gear (output gear) = 36
Number of teeth on driving gear (input gear) = 20
Substituting these values into the formula:
Velocity Ratio = 36 / 20
Simplifying the equation:
Velocity Ratio = 1.8
So, the velocity ratio is 1.8.
To find the speed of the driving wheel, we need to use the concept of the velocity ratio, which is the ratio of the number of teeth on the driven gear to the number of teeth on the driving gear.
Given:
Number of teeth on the driving gear (gear wheel) = 20
Number of teeth on the driven gear = 36
Speed of the driven gear = 200 rpm
To find the speed of the driving gear, we can use the formula:
Speed of driving gear / Speed of driven gear = Number of teeth on driven gear / Number of teeth on driving gear
Let's substitute the given values into the formula:
Speed of driving gear / 200 rpm = 36 teeth / 20 teeth
Now, we can rearrange the formula to solve for the speed of the driving gear:
Speed of driving gear = (36 teeth / 20 teeth) * 200 rpm
Simplifying the expression:
Speed of driving gear = (1.8) * 200 rpm
Speed of driving gear = 360 rpm
Therefore, the speed of the driving gear (gear wheel) is 360 rpm.
Now, let's find the velocity ratio:
Velocity ratio = Number of teeth on driven gear / Number of teeth on driving gear
Velocity ratio = 36 teeth / 20 teeth
Simplifying the expression:
Velocity ratio = 1.8
Therefore, the velocity ratio is 1.8.