Final answer:
The angular acceleration of a washer that changes its speed from 10 rad/s to 40 rad/s in 20 seconds is calculated using the formula for angular acceleration (α) and is found to be 1.5 rad/s².
Step-by-step explanation:
To find the angular acceleration of a washer that changes its speed from 10 rad/s to 40 rad/s in 20 seconds, we can use the formula for angular acceleration (α), which is defined as the change in angular velocity (ω) divided by the time (t) it takes for that change:
α = (ω_f - ω_i) / t
Where:
- α is the angular acceleration
- ω_f is the final angular velocity
- ω_i is the initial angular velocity
- t is the time
In this case, ω_f is 40 rad/s, ω_i is 10 rad/s, and t is 20 s. Plugging these values into the formula, we get:
α = (40 rad/s - 10 rad/s) / 20 s
α = 30 rad/s / 20 s
α = 1.5 rad/s²
So, the angular acceleration of the washer is 1.5 rad/s².