Equations of motions, revolutions of turntable

In summary, the turntable reaches an angular speed of 45.0 rpm in 2.1 seconds, starting from rest. If the angular acceleration is assumed to be constant, its magnitude is 2.24 rad/s2. To find the number of revolutions the turntable makes during this time interval, you can use the equation: angle traversed = [(w1 + w2)/2]*t. Since w1 is 0 and w2 is 45.0 rpm in rad/s, you can solve for the angle and then convert it to revolutions to get the answer.
  • #1
Jtappan
96
0

Homework Statement



A turntable reaches an angular speed of 45.0 rpm, in 2.1 s, starting from rest.

(a) Assuming the angular acceleration is constant, what is its magnitude?
_2.24_rad/s2
(b) How many revolutions does the turntable make during this time interval?
______ rev


Homework Equations





The Attempt at a Solution



I am having trouble with the second part. I figured out magnatude of the angular acceleration but I don't remember how to find the revolutions. Anyone help?
 
Physics news on Phys.org
  • #2
45RPM = 45 revolutions per minute. It seems that the question is asking you to find out how many revolutions the turntable makes in 2.1 seconds.
 
  • #3
rpm stands for revolutions per minute right?
 
  • #4
Anadyne said:
rpm stands for revolutions per minute right?

Yes.
 
  • #5
Yea RPM means revolutions per minute...but I broke it up into Rev/s and I still couldn't find the right answer. What do I do? any tips?
 
  • #6
Jtappan said:
Yea RPM means revolutions per minute...but I broke it up into Rev/s and I still couldn't find the right answer. What do I do? any tips?

Think of angular velocity and acceleration, the same way as velocities when you do kinemtics problems.

For example in kinematics we have:

d = [(v1+v2)/2]*t

here we have:

angle traversed = [(w1 + w2)/2]*t

here w1 = 0. w2 is 45.0 rpm in rad/s. and you have time.

once you have the angle, you can get the number of revolutions.
 

FAQ: Equations of motions, revolutions of turntable

What are the three equations of motion?

The three equations of motion are displacement (s = ut + 1/2at^2), velocity (v = u + at), and acceleration (a = (v-u)/t). These equations describe the relationship between an object's displacement, velocity, and acceleration over time.

How do you calculate the angular velocity of a turntable?

The angular velocity of a turntable can be calculated by dividing the change in angle (in radians) by the change in time. The formula for angular velocity is ω = Δθ/Δt.

What is the difference between linear and angular motion?

Linear motion refers to the movement of an object in a straight line, while angular motion refers to the movement of an object around a fixed point or axis. Linear motion can be described using equations such as s = ut + 1/2at^2, while angular motion can be described using equations like ω = Δθ/Δt.

How do you calculate the centripetal acceleration of an object in circular motion?

The centripetal acceleration of an object in circular motion can be calculated using the formula a = v^2/r, where v is the velocity of the object and r is the radius of the circular path. This acceleration is always directed towards the center of the circle.

What is the relationship between angular velocity and tangential velocity?

Angular velocity and tangential velocity are related by the radius of the circular path. The tangential velocity is equal to the angular velocity multiplied by the radius, or v = ωr. This relationship is important in understanding the motion of objects in circular motion.

Back
Top