Homework problem on rotational speed

In summary, rotational speed is the measure of how fast an object is rotating around an axis and is typically measured in revolutions per minute (RPM) or radians per second (rad/s). It can be calculated by dividing the angle of rotation by the time it takes to rotate. The factors that affect rotational speed include the size and shape of the object, the mass and distribution of the object's mass, and the force applied to the object. Rotational speed is directly related to angular velocity and is used in many real-life applications such as engines, turbines, motors, sports, and industries. It is also important in understanding the movement and behavior of celestial bodies.
  • #1
nsingh947
3
0
what is the rotational speed of the hand on a clock that measures the minutes?
what is the rotational speed of the hand on a clock that measures the seconds?
 
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  • #2
See the watch. Find the time taken by the minute hand and second hand to complete one rotation.
What is the angle covered by the minute hand in one rotation?
What is the rotational speed?
 
  • #3
Welcome to PF!

Hi nsingh947! Welcome to PF! :smile:

I'll just add: your result should be in radians per second :wink:
 

Related to Homework problem on rotational speed

1. What is rotational speed?

Rotational speed is the measure of how fast an object is rotating around an axis. It is typically measured in revolutions per minute (RPM) or radians per second (rad/s).

2. How is rotational speed calculated?

Rotational speed can be calculated by dividing the angle of rotation by the time it takes to rotate. This can be expressed as RPM = (Δθ / Δt) x (60/2π) or rad/s = Δθ / Δt.

3. What factors affect rotational speed?

The factors that affect rotational speed include the size and shape of the object, the mass and distribution of the object's mass, and the force applied to the object.

4. How is rotational speed related to angular velocity?

Rotational speed and angular velocity are directly related. Angular velocity is the rate at which an object changes its angular position, while rotational speed is the measure of how fast an object is rotating. They are related by the formula ω = v/r, where ω is angular velocity, v is tangential velocity, and r is the distance from the object to the axis of rotation.

5. How is rotational speed used in real life?

Rotational speed is used in many real-life applications, such as in engines, turbines, and motors. It is also used in sports to measure the speed of a spinning ball, and in industries to measure the speed of machines and equipment. It is also important in understanding the movement and behavior of celestial bodies, such as planets and stars.

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