Final Answer:
The angular speed of the Cosmo Clock 21 is (option A) 5 RPM.
Step-by-step explanation:
Angular speed is the rate at which an object rotates around a specific axis. In this case, the Cosmo Clock 21 has an angular speed of 5 RPM (Revolutions Per Minute). To understand this, consider that one revolution corresponds to 360 degrees. Therefore, an angular speed of 5 RPM means the Cosmo Clock 21 completes 5 revolutions in one minute (option A).
Mathematically, angular speed (ω) is calculated using the formula ω = Change in Angle / Change in Time. In the context of RPM, we can use the fact that 1 revolution is equal to 360 degrees. So, if the Cosmo Clock 21 has an angular speed of 5 RPM, it covers 5 × 360 degrees in one minute. This results in an angular speed of ω = 5 × 360 / 1 = 1800 degrees per minute.
Understanding angular speed is crucial in various applications, especially in physics and engineering. It helps describe the rotational motion of objects and is commonly used in fields such as astronomy, mechanics, and design. Therefore, an angular speed of 5 RPM for the Cosmo Clock 21 signifies the rate at which it rotates, providing valuable information for its functioning and synchronization within its design or display.