## What is the equation for the period of mass spring system and period of pendulum?

Equations

Equation | Symbol breakdown |
---|---|

T s = 2 π m k T_s = 2\pi\sqrt{\dfrac{m}{k}} Ts=2πkm | T s T_s TsT, start subscript, s, end subscript is the period of the spring, m is the mass, and k is the spring constant. |

**How do you find the period of a spring pendulum?**

Described by: T = 2π√(m/k). By timing the duration of one complete oscillation we can determine the period and hence the frequency. Note that in the case of the pendulum, the period is independent of the mass, whilst the case of the mass on a spring, the period is independent of the length of spring.

### Does mass affect the period of an oscillating spring?

A stiffer spring with a constant mass decreases the period of oscillation. Increasing the mass increases the period of oscillation.

**Does mass affect the period of a spring pendulum?**

The mass of a pendulum’s bob does not affect the period. Newton’s second law can be used to explain this phenomenon. In F = m a, force is directly proportional to mass. As mass increases, so does the force on the pendulum, but acceleration remains the same.

#### What is the period of oscillation formula?

The period formula, T = 2π√m/k, gives the exact relation between the oscillation time T and the system parameter ratio m/k.

**What is the time period of oscillation of a spring?**

12 s

Time period of oscillation of a spring is 12 s on earth.

## When a mass increases the period of oscillation?

Thus, if the mass is doubled, the period increases by a factor of √2. A mass hanging from a spring is pulled down from its equilibrium position through a distance A and then released at t = 0. It oscillates with a frequency f.

**Does mass affect oscillation period?**

The period of a pendulum does not depend on the mass of the ball, but only on the length of the string. Two pendula with different masses but the same length will have the same period. Two pendula with different lengths will different periods; the pendulum with the longer string will have the longer period.

### Does time period of pendulum depends on mass?

The correct answer is the length of the pendulum. The time period of a simple pendulum depends upon the length of the pendulum.

**How would the period of spring mass system change when it is made to oscillate horizontally and then vertically?**

A: If a spring block system, oscillating in a vertical plane is made to oscillate on a horizontal surface, the time period will remain same.