To calculate the work done to wind up the first 9m of the chain, we first need to determine the total weight of the chain being lifted.
Given:
Length of chain (L) = 30m
Weight of chain per unit length (w) = 120N/m
Distance to wind up (d) = 9m
Total weight of the chain = w * L = 120N/m * 30m = 3600N
Now, we need to calculate the work done to lift the first 9m of the chain. We can use the formula:
Work = Force x Distance
In this case, the force required to lift the chain is equal to the weight of the chain being lifted.
So, the work done to wind up the first 9m of the chain is:
Work = Force x Distance = 3600N x 9m = 32400 Nm
Therefore, the work done to wind up the first 9m of the chain is 32400 Nm.
A 30m long Chain weighing 120N/m, hangs from the drum of a winch. Calculate the work done to the wind up the first 9m of the Chain.
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