Wheel A has a diameter of 10 feet. Wheel B has a diameter of 8 feet.If both wheels revolve at the same rate, Wheel B will cover a linear distance of 16 feet ___________.
Answer(s): B
Wheel B has to make more revolutions than Wheel A to cover the same amount of distance, so it will go slower.
What effort must be used to lift a 30-pound cat (see the figure above) using a first-class lever? (Don’t include the weight of the lever in your calculations.)
Answer(s): A
E stands for effort needed. 30 (weight of the cat) × 2 (length of resistance arm) = x × 6 (length of effort arm). Do a little multiplication, and you get 60 = 6x. To isolate x, divide each side by 6:60 ÷ 6 = 6x ÷ 6, or 10 = x.
What mechanical advantage does the block and tackle arrangement in the above figure give?
A fixed, simple pulley gives no mechanical advantage, so its mechanical-advantage number is 1.
If a ramp is 8-feet long and 4-feet high, how much effort is required to move a 400-pound object up the ramp?
Answer(s): D
The formula to determine the mechanical advantage of an incline plane is Length of Ramp ÷ Height of Ramp = Weight of Object ÷ Effort. 8 ÷ 4 = 400 ÷ E8⁄4 = 400⁄E8E = 1,6008E⁄8 = 1,600⁄8E = 200
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