A spiral spring is compressed by 0.3m.calculate the stored energy in the spring if force constant is 300Nm-1
The formula to calculate the stored energy in a spring is given by:
U = (1/2)kx^2
Where U is the stored energy, k is the force constant, and x is the displacement (in this case, the compression) of the spring.
Given:
k = 300 N/m
x = 0.3 m
Substituting the values into the formula:
U = (1/2)(300 N/m)(0.3 m)^2
U = (1/2)(300 N/m)(0.09 m^2)
U = (1/2)(27 N m)
U = 13.5 J
Therefore, the stored energy in the spring is 13.5 Joules.
To calculate the stored energy in the spring, we can use the formula:
E = (1/2) * k * x^2
where E is the stored energy in joules, k is the force constant in N/m, and x is the compression or extension of the spring in meters.
Given:
Compression of the spring, x = 0.3 m
Force constant, k = 300 N/m
Let's substitute these values into the formula:
E = (1/2) * 300 N/m * (0.3 m)^2
E = (1/2) * 300 N/m * 0.09 m^2
E = 13.5 J
Therefore, the stored energy in the spring is 13.5 joules.