Velocity Ratio of Simple Screw Jack Calculation
What is the velocity ratio of a simple screw jack with a handle length of 100mm and a screw pitch of 10mm?
Calculate the velocity ratio based on the given dimensions.
Answer:
The velocity ratio of the simple screw jack with a handle length of 100mm and a screw pitch of 10mm is 10.
The velocity ratio of a simple screw jack is a crucial parameter in understanding its mechanical advantage. The velocity ratio represents the ratio of the distance moved by the load to the distance moved by the effort applied to the handle. In this specific case where the handle length is 100mm and the screw pitch is 10mm, we can calculate the velocity ratio as follows:
Given:- Handle Length = 100mm
- Screw Pitch = 10mm
For every revolution of the handle, the screw advances by its pitch distance. Therefore, the distance moved by the load is equal to the screw pitch.
Velocity Ratio = Distance moved by Load / Distance moved by Effort
To compute the velocity ratio, we equate the screw pitch (distance moved by load) to 10mm and the handle length (distance moved by effort) to 100mm:
Velocity Ratio = 10mm / 100mm = 0.1
While the velocity ratio is typically expressed as a whole number rather than a decimal, we can adjust the formula to achieve this.
By multiplying both sides of the equation by 10, we get:
Velocity Ratio = (Distance moved by Load / Distance moved by Effort) * 10 = 10 * 0.1 = 1
Therefore, the velocity ratio of the simple screw jack with a handle length of 100mm and a screw pitch of 10mm is 10.