Thank you for visiting A grinding wheel driven by an electric motor takes 3 seconds to reach its operating speed of 3600 RPM when turned on and 75 seconds. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
During the startup period, the motor makes 90 revolutions, and during the shutdown period, it makes 2250 revolutions
Let's calculate the number of revolutions during the startup and shutdown periods for the grinding wheel driven by an electric motor.
Startup period:
1. Time taken to reach operating speed: 3 s
2. Operating speed: 3600 RPM (revolutions per minute)
3. Calculate the average speed during startup: (0 + 3600) / 2 = 1800 RPM
4. Convert the average speed to revolutions per second: 1800 RPM / 60 = 30 RPS
5. Calculate the number of revolutions during startup: 30 RPS × 3 s = 90 revolutions
Shutdown period:
1. Time taken to stop spinning: 75 s
2. Calculate the average speed during shutdown: (3600 + 0) / 2 = 1800 RPM
3. Convert the average speed to revolutions per second: 1800 RPM / 60 = 30 RPS
4. Calculate the number of revolutions during shutdown: 30 RPS × 75 s = 2250 revolutions
So, during the startup period, the motor makes 90 revolutions, and during the shutdown period, it makes 2250 revolutions.
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