meganknott121
Answered

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Which mathematical formula would you use to calculate the Ideal Mechanical Advantage (IMA) of a wheel?

A. [tex] MA = \frac{RW}{RA} [/tex]
B. [tex] MA = \frac{LE}{LR} [/tex]
C. [tex] MA = \frac{\text{length of plane}}{\text{height of plane}} [/tex]

Sagot :

GinnyAnswer
To calculate the Ideal Mechanical Advantage (IMA) of a wheel, you would use the formula:

[tex]\[ MA = \frac{RW}{RA} \][/tex]

Where:
- [tex]\( MA \)[/tex] is the Mechanical Advantage.
- [tex]\( RW \)[/tex] represents the Resistance Wheel (the radius of the wheel).
- [tex]\( RA \)[/tex] represents the Resistance Arm (the radius of the axle).

This formula is used specifically for levers and wheel-and-axle systems, such as in the case of a wheel. The IMA represents the ratio of the radius of the wheel to the radius of the axle, indicating how much the input force is amplified. This is why the correct choice in your list of formulas is:

[tex]\[ MA = \frac{RW}{RA} \][/tex]

In conclusion, the formula to use for calculating the IMA of a wheel is:

[tex]\[ MA = \frac{RW}{RA} \][/tex]
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