Table of Contents
- 1 What is the ratio of maximum acceleration to the maximum velocity of simple harmonic oscillator?
- 2 How do you find maximum acceleration in simple harmonic motion?
- 3 What is the ratio of maximum velocity?
- 4 What is the ratio of their maximum accelerations?
- 5 What is the value of minimum and maximum displacement in simple harmonic motion?
- 6 What is the acceleration of a particle executing simple harmonic motion?
- 7 What is the time period of vibration of a particle?
What is the ratio of maximum acceleration to the maximum velocity of simple harmonic oscillator?
10s−1
The ratio of maximum acceleration to maximum velocity in a simple harmonic motion is 10s−1.
How do you find maximum acceleration in simple harmonic motion?
The maximum acceleration is a max = A ω 2 a max = A ω 2 . The maximum acceleration occurs at the position ( x = − A ) , and the acceleration at the position ( x = − A ) and is equal to − a max .
At what position the velocity of a particle executing simple harmonic motion is maximum?
equilibrium position
Note- The maximum velocity of a body doing simple harmonic motion occurs at the equilibrium position (x=0) when the mass is moving towards positive amplitude, and the maximum acceleration of the particle occurs at the extreme ends where force is maximum.
What is the acceleration at maximum velocity?
The velocity of a body is maximum means that you can not increase it further. Means change in velocity is zero. Means change in velocity is zero. Hence acceleration is zero.
What is the ratio of maximum velocity?
Mean or Average velocity is obtained by dividing the discharge of the fluid across the corss sectional area of pipe (πr2). Te discharge (Q) across the section is obtained by considering the flow through a circular ring element of radius ‘r’ and thickness ‘dr’ as shown in.
What is the ratio of their maximum accelerations?
The ratio of their maximum acceleration is. 1:10.
What is the formula for maximum acceleration?
The maximum acceleration is amax=Aω2 a max = A ω 2 . The maximum acceleration occurs at the position(x=−A) , and the acceleration at the position (x=−A) and is equal to −amax .
What is maximum particle velocity?
The maximum velocity of a particle performing SHM is given by v = Aω , where A is the amplitude and ω is the angular frequency of oscillation.
What is the value of minimum and maximum displacement in simple harmonic motion?
For a body executing SHM, its velocity is maximum at the equilibrium position and minimum (zero) at the extreme positions where the value of displacement is maximum i.e. at x = A.
What is the acceleration of a particle executing simple harmonic motion?
The acceleration of a particle executing simple harmonic motion is given by, a (t) = -ω 2 x (t). Here, ω is the angular velocity of the particle. Simple harmonic motion can be described as an oscillatory motion in which the acceleration of the particle at any position is directly proportional to the displacement from the mean position.
What is the maximum velocity of a particle during oscillations?
Science > Physics > Oscillations: Simple Harmonic Motion > Numerical Problems on Maximum Velocity and Maximum Acceleration. a particle executing simple harmonic motion has a period of 6 s and its maximum velocity during oscillations is 6.28 cm/s.
What is the direction of restoring force in simple harmonic motion?
The direction of this restoring force is always towards the mean position. The acceleration of a particle executing simple harmonic motion is given by, a (t) = -ω 2 x (t). Here, ω is the angular velocity of the particle.
What is the time period of vibration of a particle?
A particle is executing a simple harmonic motion. Its maximum acceleration is α and maximum velocity is β Then, its time period of vibration will be α = ω 2 A (i) and β = ω A