What are the dimensions of force constant of a vibrating spring
Answers
Answered by
0
Answer:
In SI units, displacements are measured in meters (m), and forces in newtons (N or kg. m/s2). Therefore, the spring constant k, and each element of the tensor κ, is measured in newtons per meter (N/m), or kilograms per second squared (kg/s2).
Answered by
0
Answer:
Example 1 A spring with load 5 Kg is stretched by 40 cm. Determine its spring constant.
Solution:
Given:
Mass m = 5 Kg
Displacement x = 40 cm
We know that,
Force F = m a = 5 × 0.4 = 2 N
The spring constant is given as:
k=Fx
= – 2 / 0.4= – 5 N/m
Example 2 A boy weighing 20 pounds stretches a spring by 50 cm. Determine the spring constant of the spring.
Solution:
Given:
Mass m = 20 lbs = 20 / 2.2 = 9.09 Kg
Displacement x = 50 cm
The force F = ma = 9.09 × 9.8 = 89.082 N
The spring constant formula is given by:
k=Fx
= – 89.082 / 0.5 = – 178.164 N/m.
Stay tuned with BYJU’S to learn more about other Physics related concepts.
Similar questions