A heavy flywheel rotating on its central axis is slowing down because of friction on its bearings. At the end of the first minute of slowing, its rotational speed is 0.90 of its intial rotational speed of 250 rev/min. Assuming a constant rotational acceleration, find its rotational speed at the end of the first minute.
I am confused on how to start the problem. The 0.90 of its rotational speed is throwing me off. If someone could tell me how to handle that I would apprecitate it.
If you had 12 dollars, and I stole some of it, so you had .9 (or 90 percent) of it left, you would have 12*.9 dollars left.
"of its" means multiply
To solve this problem, we can use the concept of rotational acceleration and the formula for rotational speed. The given information tells us that the rotational speed at the end of the first minute is 0.90 (or 90%) of the initial rotational speed.
Here's how you can handle it step by step:
1. Write down the given information:
- Initial rotational speed (ω₀) = 250 rev/min
- Rotational speed at the end of the first minute (ω₁) = 0.90 * 250 rev/min
2. Multiply the initial rotational speed by 0.90 to find the rotational speed at the end of the first minute:
ω₁ = 0.90 * 250 rev/min
ω₁ = 225 rev/min
Therefore, the rotational speed at the end of the first minute is 225 rev/min.