During an elbow flexion exercise, the relative angle at the elbow is 22 degrees at .3s and 155 degress at .62s. What is the angular velocity of the elbow?
To find the angular velocity, we need to determine the change in degrees over time. The change in degrees is 155 - 22 = 133 degrees. The change in time is 0.62 - 0.3 = 0.32 seconds. The angular velocity is then:
Angular velocity = (change in degrees) / (change in time)
Angular velocity = 133 degrees / 0.32 seconds
Angular velocity = 415.625 degrees/second
To find the angular velocity of the elbow during the elbow flexion exercise, we need to calculate the change in the angle and the change in time.
Given:
Initial angle (θ1) = 22 degrees
Final angle (θ2) = 155 degrees
Initial time (t1) = 0.3 seconds
Final time (t2) = 0.62 seconds
The change in angle (Δθ) is given by:
Δθ = θ2 - θ1
Let's calculate the change in angle first:
Δθ = 155 degrees - 22 degrees
Δθ = 133 degrees
The change in time (Δt) is given by:
Δt = t2 - t1
Now, let's calculate the change in time:
Δt = 0.62 seconds - 0.3 seconds
Δt = 0.32 seconds
Angular velocity (ω) is the rate at which the angular position changes with respect to time and is given by:
ω = Δθ / Δt
Now, let's calculate the angular velocity:
ω = 133 degrees / 0.32 seconds
ω ≈ 415.63 degrees/second
Therefore, the angular velocity of the elbow during the flexion exercise is approximately 415.63 degrees/second.
To find the angular velocity of the elbow during the exercise, we need to calculate the change in angular displacement over the change in time.
Angular Velocity = (Change in Angular Displacement) / (Change in Time)
Given that the relative angle changes from 22 degrees to 155 degrees over a time interval of 0.62s - 0.3s = 0.32s, we can substitute these values into the equation.
Change in Angular Displacement = Final Angle - Initial Angle = 155 degrees - 22 degrees = 133 degrees
Change in Time = 0.32s
Angular Velocity = 133 degrees / 0.32s = 416.25 degrees/s
Therefore, the angular velocity of the elbow during the exercise is 416.25 degrees/s.