How does the spring constant affect period?

A stronger spring-with a larger value of k-will move the same mass more quickly for a smaller period. As the spring constant k increases, the period decreases. For a given mass, that means a greater acceleration so the mass will move faster and, therefore, complete its motion quicker or in a shorter period.

What is the period of a mass spring oscillation system with a spring constant of 40 N m and mass of 2 kg?

T=2π√mk .

What is meant by the term time period?

A time period (denoted by ‘T” ) is the time taken for one complete cycle of vibration to pass a given point. As the frequency of a wave increases, the time period of the wave decreases. The unit for time period is ‘seconds’.

What is period unit?

The unit for time period is ‘seconds’. Frequency and time period are in a reciprocal relationship that can be expressed mathematically as: T = 1/f or as: f = 1/T.

How is the period of a mass oscillating on a spring related to the spring constant?

The period of a spring-mass system is proportional to the square root of the mass and inversely proportional to the square root of the spring constant.

How do you find the period of a mass on a spring?

So the formula for the period of a mass on a spring is the period here is gonna be equal to, this is for the period of a mass on a spring, turns out it’s equal to two pi times the square root of the mass that’s connected to the spring divided by the spring constant.

How do you find the spring constant of a spring?

The spring constant is given as: \\(k=-\\frac{F}{x}\\) = – 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:

What is the formula for spring constant F ma?

The force F = ma = 9.09 × 9.8 = 89.082 N. The spring constant formula is given by: = – 89.082 / 0.5 = – 178.164 N/m. Stay tuned with BYJU’S to learn more about other Physics related concepts.

What is the spring constant in NM -1?

F is the restoring force of the spring directed towards the equilibrium k is the spring constant in N.m -1 x is the displacement of the spring from its equilibrium position In other words, the spring constant is the force applied if the displacement in the spring is unity.