Frequency to Angular Frequency

Q. A $1\text{kg}$ block is executing simple harmonic motion of amplitude $0.1\text{m}$ on a smooth horizontal surface under the restoring force of a spring of spring constant $100\text{N/m}$. A block of mass $3\text{kg}$ is gently placed on it at the instant it passes through the mean position. Assuming that the blocks move together, then

1. Amplitude of the motion becomes $5\text{cm}$
2. The oscillation frequency becomes $\frac{5}{2\pi }\text{Hz}$
3. Amplitude of the motion becomes $10\text{cm}$
4. The oscillation frequency becomes $\frac{5}{\pi }\text{Hz}$

Q. A $1\text{kg}$ block is executing simple harmonic motion of amplitude $0.1\text{m}$ on a smooth horizontal surface under the restoring force of a spring of spring constant $100\text{N/m}$. A block of mass $3\text{kg}$ is gently placed on it at the instant it passes through the mean position. Assuming that the blocks move together, then

1. Amplitude of the motion becomes $5\text{cm}$
2. The oscillation frequency becomes $\frac{5}{2\pi }\text{Hz}$
3. Amplitude of the motion becomes $10\text{cm}$
4. The oscillation frequency becomes $\frac{5}{\pi }\text{Hz}$

Q. Angular frequency is defined as the rate of change of angular displacement.

1. True
2. False

Q. What is the relation between frequency f of and oscillation and its angular frequency $\omega$

1. $\omega$ = 2 $\pi$f
2. 2 $\pi \omega$ = f

Q. What is the relation between frequency f of and oscillation and its angular frequency $\omega$

1. $\omega$ = 2 $\pi$f
2. 2 $\pi \omega$ = f