Angular acceleration of machinery

In summary, angular acceleration is the rate of change of angular velocity and is important in machinery because it indicates how quickly a part is moving and the force needed to change its direction. It is typically measured in radians per second squared or degrees per second squared using sensors like accelerometers or gyroscopes. Factors such as mass, force, and friction can affect angular acceleration, which can be controlled by adjusting force, changing mass or shape, or using different bearings or lubricants. Angular acceleration is widely used in various machinery applications, including engines, turbines, motors, industrial equipment, robotics, and in the automotive industry for performance and handling purposes.
  • #1
Lance WIlliam
47
0
A piece of machinery is spinning at 760rpm . When a brake is applied, its rotation rate drops to 480rpm while it turns through 210 revolutions.


What is the magnitude of the angular deceleration?

Answer in Rad/s^2

Eqn I used:[tex]\omega[/tex]^2=[tex]\omega[/tex]_0_^2+2[tex]\alpha[/tex](change in theta)

I put 480^2=760^2+2(alpha)210



I got 3.79e-3...
Wrong...:(
what did I do wrong? Ithink its the units, they are very confusing.
 
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  • #2
i'd convert the distance to radians, and all the speeds to radians per sec right off the bat. so 760 rpm x 2pi / 60 would give you rad/s for example
 
  • #3
Thankyou
 

1. What is angular acceleration and how does it relate to machinery?

Angular acceleration is the rate of change of angular velocity, which is the speed at which an object rotates around a fixed axis. In machinery, angular acceleration is important because it can indicate how quickly a part of the machine is moving and how much force is needed to change its direction.

2. How is angular acceleration measured in machinery?

Angular acceleration is typically measured in units of radians per second squared (rad/s²) or degrees per second squared (deg/s²). This can be measured using sensors such as accelerometers or gyroscopes, which can be attached to the rotating part of the machinery to measure its rotational speed and changes in direction.

3. What factors can affect the angular acceleration of machinery?

There are several factors that can affect the angular acceleration of machinery, including the mass and shape of the rotating part, the amount of force being applied, and the friction and resistance in the bearings or gears. Changes in any of these factors can impact the speed and direction of the rotation, and therefore the angular acceleration.

4. How can angular acceleration be controlled in machinery?

Angular acceleration can be controlled in machinery by adjusting the amount of force or torque being applied, changing the mass or shape of the rotating part, or using different types of bearings or lubricants to reduce friction. Sophisticated control systems can also be used to monitor and adjust the angular acceleration in real time.

5. What are some common applications of angular acceleration in machinery?

Angular acceleration is an important concept in many different types of machinery, including engines, turbines, motors, and industrial equipment. It is also used in robotics and automation, where precise control of angular acceleration is necessary for tasks such as rotating arms or moving parts along a specific path. In the automotive industry, angular acceleration is key to the performance of vehicles, particularly in terms of acceleration and handling.

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