Question

Determine the vertical rise h of the load W during 5 seconds if the hoisting drum wraps cable around it at the constant rate of 320 mm/s.

Answer 1

Answer:

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Answer 2

The vertical rise of load W is 122.62 meters

Determining the vertical rise of the load:

To determine the vertical rise of the load W during 5 seconds, use the formula:

h = ut + (1/2)at²

Where:

h is the vertical rise of the load W

u is the velocity of the hoisting drum, which is 320 mm/s

t is the time it takes to lift load W, which is 5 seconds

a is the vertical acceleration of the load (in meters per second squared)

Here,

As the load is being hoisted upward, its initial vertical velocity is zero, so u = 0.

The vertical acceleration of the load is equal to the acceleration due to gravity, which is approximately 9.81 m/s².

Constant rate t = 320 mm/sec = 0.32 m/sec  [ converted into meters ]

Therefore,

Vertical rise h = (0)(0.32) + (1/2)(9.81)(5)²  

= (1/2)(9.81)(5)²    

= 122.62

Therefore,

The vertical rise of load W is 122.62 meters

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