To calculate the tension in the steel cable, we need to consider the two forces acting on the cargo: the weight (W) and the tension (FT) in the steel cable.
A. When the cargo is stationary, the tension in the steel cable should be equal to the weight of the cargo. Therefore, Tension (FT) = Weight (W).
B. When the cargo accelerates upward, there are two forces acting on it: the weight (W) and the net force (Fnet = mass * acceleration). The net force is responsible for the acceleration.
The weight (W) can be calculated using the formula: Weight (W) = mass (m) * gravity (g).
Given that the mass of the cargo is 355 kg, and the acceleration due to gravity is approximately 9.8 m/s^2, we can calculate the weight:
Weight (W) = 355 kg * 9.8 m/s^2 = 3479 kg*m/s^2 = 3479 N.
The net force (Fnet) acting on the cargo can be calculated using the formula: Fnet = mass (m) * acceleration (a). Given that the acceleration is 0.25 m/s^2, and the mass of the cargo is 355 kg, we can calculate the net force:
Fnet = 355 kg * 0.25 m/s^2 = 88.75 kg*m/s^2 = 88.75 N.
To calculate the tension (FT), we need to add the net force (Fnet) to the weight (W) and consider them as positive since they act in the same direction:
Tension (FT) = Weight (W) + Net Force (Fnet) = 3479 N + 88.75 N = 3567.75 N.
Therefore, the tension in the steel cable when the cargo accelerates upward at a rate of 0.25 m/s^2 is approximately 3567.75 N.
where FT means Tension and W means Weight, calculate the tension on the steel cable given the following conditions:
A. The cargo is stationary.
B. The cargo accelerates upward at a rate of 0.25 m/(s^2)
Steel Cable 355kg cargo
What is the tension in Condition B?
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1 answer