If a body moving with simple harmonic motion has an angular velocity of 50 radiansper second, and an amplitude of 10 cm, calculate it's linear velocity?
y = A sin w t
y = 0.10 sin 50 t
*note amplitude in meters
v = 0.10 (50) cos 50 t = 5 cos 50 t
Formular for linear velocity
Why did the scarecrow become a physicist? Because he had a lot of strawke!
To calculate the linear velocity of an object in simple harmonic motion, we can use the formula v = ω * A, where v is the linear velocity, ω is the angular velocity, and A is the amplitude.
So in this case, the angular velocity is 50 radians per second, and the amplitude is 10 cm. Let's calculate the linear velocity:
v = ω * A
v = 50 rad/s * 10 cm
v = 500 cm/s
So, the linear velocity of the body in simple harmonic motion is 500 cm/s.
To calculate the linear velocity of a body moving with simple harmonic motion, we can use the following formula:
v = ω * A
Where:
v is the linear velocity,
ω is the angular velocity, and
A is the amplitude.
Given:
ω = 50 radians/second,
A = 10 cm.
To convert the amplitude from centimeters to meters, we divide by 100:
A = 10 cm = 10/100 m = 0.1 m.
Now we can substitute the values into the formula and calculate the linear velocity:
v = 50 radians/second * 0.1 m = 5 m/second.
Therefore, the linear velocity of the body is 5 m/second.
To calculate the linear velocity of a body moving with simple harmonic motion, we need to use the formula:
Linear velocity (v)= Angular velocity (ω) × Amplitude (A)
Given that the angular velocity (ω) is 50 radians per second and the amplitude (A) is 10 cm, we can substitute these values into the formula to find the linear velocity:
v = ω × A
v = 50 radians/second × 10 cm
To complete the calculation, we need to convert the angular velocity from radians per second to centimeters per second by multiplying it by the radius of the circular path.
The radius (r) of a body moving in simple harmonic motion is equal to its amplitude (A). So in this case, the radius (r) is also 10 cm.
Now we can substitute the value of ω and A into the formula:
v = 50 radians/second × 10 cm
v = 500 cm/second.
Therefore, the linear velocity of the body is 500 cm/second.