The amplitude of oscillation of the particle which executes simple harmonic is 0.61 m (option D)
How to calculate the amplitude of oscillation?
Amplitude of oscillation is related to the acceleration according to the following formula:
a = ω²A
Where
- a is the acceleration of object
- ω is the angular velocity
- A is the amplitude of oscillation
Now, we shall apply the above formula to calculate the amplitude of the oscillation. This is explained below:
- Angular velocity of particle (ω) = 3.5 rad/sec
- Maximum acceleration of particle (a) = 7.5 m/s²
- Amplitude of oscillation (A) =?
a = ω²A
7.5 = 3.5² × A
7.5 = 12.25 × A
Divide both sides by 12.25
A = 7.5 / 12.25
A = 0.61 m
Therefore, the correct answer to the question is option D