An inclined plane, which slopes at 37 o, is used to raise a 10kg object to a height of 4m. If the efficiency of this machine is 80%. The MA and VR will be___________Question 16Answera.MA- 1.53 and VR=5/4b.MA=1.33 and VR=5/3c.MA=1.55 and VR=5/3d.MA=1.44 and VR= 3/5
Question
An inclined plane, which slopes at 37 o, is used to raise a 10kg object to a height of 4m. If the efficiency of this machine is 80%. The MA and VR will be___________Question 16Answera.MA- 1.53 and VR=5/4b.MA=1.33 and VR=5/3c.MA=1.55 and VR=5/3d.MA=1.44 and VR= 3/5
Solution
The answer is b. MA=1.33 and VR=5/3.
Step 1: The mechanical advantage (MA) of an inclined plane is the ratio of the length of the slope (L) to the height of the slope (h). In this case, the angle of the slope is 37 degrees, so L/h = 1/cos(37) = 1.33.
Step 2: The velocity ratio (VR) of an inclined plane is also the ratio of the length of the slope to the height of the slope. So, VR = L/h = 1.33.
Step 3: The efficiency of the machine is 80%, but this does not affect the MA or the VR. The efficiency would affect the actual mechanical advantage (AMA), not the ideal mechanical advantage (MA) or the velocity ratio (VR).
Therefore, the MA and VR of the inclined plane are both approximately 1.33.
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