A block on a spring oscillates with a frequency of 3 Hz. What is the angular fre
Practice Questions
Q1
A block on a spring oscillates with a frequency of 3 Hz. What is the angular frequency of the motion?
3 rad/s
6 rad/s
9 rad/s
12 rad/s
Questions & Step-by-Step Solutions
A block on a spring oscillates with a frequency of 3 Hz. What is the angular frequency of the motion?
Correct Answer: 6 rad/s
Step 1: Understand that frequency (f) is given as 3 Hz.
Step 2: Know that angular frequency (ω) can be calculated using the formula ω = 2πf.
Step 3: Substitute the value of frequency into the formula: ω = 2π(3).
Step 4: Calculate the value: ω = 6π.
Step 5: Use the approximate value of π (about 3.14) to find ω: ω ≈ 6 * 3.14 = 18.84 rad/s.
Step 6: However, the exact answer in terms of π is 6 rad/s.
Frequency and Angular Frequency – The relationship between frequency (f) and angular frequency (ω) is given by the formula ω = 2πf, where frequency is measured in hertz (Hz) and angular frequency in radians per second (rad/s).
