A 44 m diameter wheel accelerates uniformly about its center from 110 rpm to 320 rpm in 3.9 s.
Determine the radial component of the linear acceleration of a point on the edge of the wheel 1.0 s after it has started accelerating.
see other post.
there isn't anything on the other post either
To determine the radial component of the linear acceleration of a point on the edge of the wheel, we can use the formula:
Acceleration = (Change in Angular Velocity)/Time
1. First, we need to calculate the change in angular velocity. The initial angular velocity is given as 110 rpm, and the final angular velocity is given as 320 rpm. To convert these values into radians per second, we need to multiply by 2π/60 (since there are 2π radians in a full revolution and 60 seconds in a minute).
Initial angular velocity = 110 rpm * (2π radians/1 minute) * (1 minute/60 seconds)
Final angular velocity = 320 rpm * (2π radians/1 minute) * (1 minute/60 seconds)
2. Next, we calculate the change in angular velocity:
Change in angular velocity = Final angular velocity - Initial angular velocity
3. Now, we need to calculate the time taken for the acceleration. The time given is 3.9 s, but we are interested in calculating the radial component after 1.0 s.
4. Finally, we can use the formula mentioned earlier to calculate the radial component of the linear acceleration:
Radial component of linear acceleration = (Change in angular velocity) / Time
Substituting the calculated values, we can find the answer.