Rotating object angular velocity question

In summary, the rotating object with an angular velocity of 10 radians/s will rotate 600 radians in one minute, which is equivalent to 34377 degrees.
  • #1
pinnacleprouk
26
0

Homework Statement



A rotating object has angular velocity 10radians/s. After one min through what angle has the object rotated in 1) radians 2) degrees



Homework Equations



Degrees = Radians x 180/Pi



The Attempt at a Solution



I have tried and only come up with an answer of 3600 which i know is wrong


3600 what?



Any help is appreciated

Thanks in advance!
 
Physics news on Phys.org
  • #2
(rad/s)*(s)= radians

also, 1 min = 60 s.
 
  • #3
So are we saying that 10*60 = 600 radians

Therefore 6.00 = d x Pi/180

6.00 = d x 0.0175

6.00/0.0175 = d

d = 343 degrees?
 
  • #4
or is it... θ = (w0 + w)t/2

θ = (0+10) x 60/2

θ = 300 Degrees?

Thanks in advance
 
  • #5
pinnacleprouk said:
So are we saying that 10*60 = 600 radians

and π radians is 180°

so 600 radians is?
 
  • #6
How can it be 600 radians that does not make sense! I am sorry but I don't understand
 
  • #7
pinnacleprouk said:
How can it be 600 radians that does not make sense! I am sorry but I don't understand

10 radians/s

in 1 s, object rotates 10 radians
in 60s...
 
  • #8
so would the answer to the original question be

1) 600 Radians

2) 34377 Degrees

Thanks in advance
 

FAQ: Rotating object angular velocity question

What is angular velocity?

Angular velocity refers to the rate of change of angular displacement of an object with respect to time. It is a measure of how quickly an object is rotating or spinning around a central axis.

How is angular velocity different from linear velocity?

Angular velocity is a measure of rotational motion, while linear velocity is a measure of translational motion. Angular velocity is expressed in units of radians per second, while linear velocity is expressed in units of meters per second.

How is angular velocity calculated?

Angular velocity is calculated by dividing the change in angular displacement by the change in time. It is often represented by the symbol ω (omega) and is measured in units of radians per second (rad/s).

What is the relationship between angular velocity and linear velocity?

The relationship between angular velocity and linear velocity depends on the distance from the axis of rotation. The linear velocity of a point on a rotating object is equal to the distance from the axis of rotation multiplied by the angular velocity.

How does angular velocity affect the stability of a rotating object?

Angular velocity can affect the stability of a rotating object by influencing its rotational inertia. A higher angular velocity means a higher rotational inertia, which can make the object more stable and resistant to changes in its rotational motion.

Back
Top