Frequency and Spring Constant Concepts

This video tutorial covers solving basic simple harmonic motion problems in physics. It includes calculating the period, frequency, and angular frequency of oscillators, determining spring constants using Hooke's law, and understanding the relationship between spring constants and frequency. The tutorial also explains how to find amplitude, frequency, period, and spring constant from a given equation of motion.

What is the formula to calculate the period of a simple harmonic oscillator?

• Mass divided by spring constant

• 2π times the square root of mass divided by spring constant

• Spring constant divided by mass

• 2π times the spring constant

How is frequency related to the period in simple harmonic motion?

• Frequency is the square of the period

• Frequency is the reciprocal of the period

• Frequency is twice the period

• Frequency is half the period

What is the angular frequency if the frequency is 3.183 Hz?

• 30 radians per second

• 10 radians per second

• 40 radians per second

• 20 radians per second

According to Hooke's Law, how do you calculate the spring constant?

• Force divided by mass

• Force divided by displacement

• Displacement divided by force

• Mass divided by force

What is the frequency of a spring with a constant of 1428.6 N/m and a mass of 0.5 kg?

• 8.51 Hz

• 7.51 Hz

• 6.51 Hz

• 5.51 Hz

If the spring constant increases by a factor of four, how does the frequency change?

• It remains the same

• It quadruples

• It triples

• It doubles

What is the new frequency if the spring constant changes from 100 N/m to 400 N/m, given the initial frequency is 25 Hz?

• 50 Hz

• 30 Hz

• 60 Hz

• 40 Hz

In the equation x = 0.65 cos(7.35t), what does 0.65 represent?

• Frequency

• Period

• Amplitude

• Angular frequency

How do you calculate the period if the frequency is known?

• Square the frequency

• Add 2π to the frequency

• Divide 1 by the frequency

• Multiply the frequency by 2π

What is the spring constant if the mass is 0.75 kg and the angular frequency is 7.35 rad/s?

• 40.5 N/m

• 35.5 N/m

• 45.5 N/m

• 30.5 N/m