If the mine winch drum diameter is 6cm,calculate how far the cage will drop for each single rotation of the drum ,use formula C=nr
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But you have the formula -- use it, after you correct it.
C = πd = 2πr
R = d/2 = 3 cm
drops 1 circumference in 1 revolution
C = 2 pi R = 2 * 3.14 * 3 = 18.8 cm
by the way of course C = pi D = 2 pi R
To calculate how far the cage will drop for each single rotation of the mine winch drum, we can use the formula C = nr, where "C" represents the circumference of the drum, "n" represents the number of rotations, and "r" represents the radius of the drum.
First, we need to find the radius of the drum. The diameter of the drum is given as 6 cm. The radius is half of the diameter, so the radius of the drum would be 6 cm / 2 = 3 cm.
Now that we have the radius, we can proceed to calculate the circumference of the drum using the formula C = 2πr, where π is approximately equal to 3.14.
C = 2πr
= 2 x 3.14 x 3 cm
≈ 18.84 cm
We have found that the circumference of the drum is approximately 18.84 cm.
Now, if we rotate the drum once (n = 1), the cage will drop a distance equal to the circumference of the drum. Therefore, for each single rotation of the drum, the cage will drop approximately 18.84 cm.