Question
![From the diagram above, a weight W = 60N is suspended](https://physicscalculations.com/wp-content/uploads/2023/02/Screenshot_20230225-141920_1677331298366-1024x512.jpg)
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.
You may also like to read:
What is the resultant force when two forces 10n and 20n are inclined at angle 60 to each other?
How to Calculate Volume From General Gas Law
Sources