a screw pitch 5cm is used to lift a load of 890.8N in acar jack.The lever makes a circle of circumeference 10cm and has effecience of 85.find; velocity ratio,mechanical advantage,effort applied to the handle
To find the velocity ratio, mechanical advantage, and effort applied to the handle, you will need to use some basic formulas and definitions related to simple machines.
1. Velocity Ratio (VR):
The velocity ratio is defined as the ratio of the distance moved by the effort (in this case, the handle) to the distance moved by the load.
VR = Distance moved by effort / Distance moved by load
In this case, the distance moved by the effort is given by the circumference of the lever, which is 10 cm. The distance moved by the load is equal to the screw pitch, which is 5 cm.
VR = 10 cm / 5 cm
VR = 2
So, the velocity ratio is 2.
2. Mechanical Advantage (MA):
The mechanical advantage is defined as the ratio of the load lifted or force gained to the effort applied.
MA = Load lifted / Effort applied
In this case, the load lifted is given as 890.8 N. To find the effort applied, you need to know the efficiency of the car jack.
Efficiency = (MA / VR) × 100
Given efficiency = 85
Solving for MA:
85 = (MA / 2) × 100
MA = (85/100) × 2
MA = 1.7
So, the mechanical advantage is 1.7.
3. Effort applied to the handle:
Effort = Load lifted / Mechanical Advantage
Effort = 890.8 N / 1.7
Effort = 523.4 N (approx.)
So, the effort applied to the handle is approximately 523.4 N.