Question
From the diagram above, a weight W = 60N is suspended horizontally by a string attached to a wall. Find the tension T on the string.
Answer
The answer to the above question for the tension of the string is 40√3.
Data
Weight, W = 60N
Tension, T = ?
Angle, θ = 300
Formula
Since W = Tcosθ
We will apply the formula below to solve the problem
T = W / cosθ
Solution
We will insert our data into the formula
Tension, T = W / cosθ = 60 / cos300
Since cos300 = √3 / 2
Thus
T = 60 / ( √3 / 2 ) = 60 x (2 x √3) = 120√3
And 120√3 = 69.828 = 40√3
Therefore
T = 40√3
Thus, the tension of the string is 40√3.
Hence, the solution to the question “From the diagram above, a weight W = 60N is suspended horizontally by a string attached to a wall. Find the tension T on the string” is 40√3.
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