Angular and tangential acceleration

In summary, the tangential acceleration of a bug on the rim of a 78 rpm record with a diameter of 9.79 inches is 0.2901 m/s^2. This is calculated by converting the measurements to meters and radians, finding the angular acceleration, and multiplying it by the radius of the record.
  • #1
Idividebyzero
64
0
1. What is the tangential acceleration of a bug
on the rim of a 78 rpm record of diameter
9.79 in. if the record moves from rest to its
final angular speed in 7 s? The conversion
between inches and meters is 0.0254 m/in.
Answer in units of m/s2.




2. angular acceleration



3. converted 9.79 inches to 0.248666 meters using 0.0254 m/in. converted 78 rev/min to 8.168 rad/s using 2pi rad / 60 sec. alpha = delta omega / delta time. getting alpha as 8.168 rad/s / 7s = 1.1668 rad/s/s. multiply 1.1668 rad/s/s * 0.24866 m to get 0.2901 m/s^2. this is incorrect
 
Physics news on Phys.org
  • #2
a = alpha*r

you are multiplying by the diameter 'd' which is twice the radius 'r'.
 
  • #3
It looks OK, but you should round it off to 1 significant figure. Edit: But first heed rockfreak's advice:smile:
 
  • #4
haha yeah i was multiplying by the diameter that's probably the issue
 
  • #5
that confirms it, yall found my tiny mistakes once again...gracias amegos
 

1. What is the difference between angular and tangential acceleration?

Angular acceleration refers to the rate of change of angular velocity, which is the rate at which an object rotates around an axis. Tangential acceleration, on the other hand, refers to the rate of change of linear velocity of an object moving along a curved path. In simpler terms, angular acceleration is related to rotational motion, while tangential acceleration is related to linear motion.

2. How do you calculate angular acceleration?

Angular acceleration can be calculated by dividing the change in angular velocity by the change in time. The formula for angular acceleration is: α = (ωf - ωi) / t, where α is the angular acceleration, ωf is the final angular velocity, ωi is the initial angular velocity, and t is the time interval.

3. What is the unit of measurement for angular acceleration?

The unit of measurement for angular acceleration is radians per second squared (rad/s²). This unit is derived from the formula for angular acceleration, which includes angular velocity (measured in radians per second) and time (measured in seconds).

4. How does tangential acceleration relate to centripetal acceleration?

Tangential acceleration and centripetal acceleration are both components of linear acceleration. Tangential acceleration is the component of linear acceleration that is parallel to the direction of motion, while centripetal acceleration is the component that is perpendicular to the direction of motion. In circular motion, tangential acceleration is caused by changes in speed, while centripetal acceleration is caused by changes in direction.

5. Can an object have both angular and tangential acceleration?

Yes, an object can have both angular and tangential acceleration. For example, a car moving along a curved path will experience both tangential acceleration (due to changes in speed) and centripetal acceleration (due to changes in direction). Similarly, a spinning top will have both angular acceleration (due to changes in its spinning speed) and tangential acceleration (due to changes in the direction of its motion).

Similar threads

  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
785
  • Introductory Physics Homework Help
Replies
8
Views
1K
  • Introductory Physics Homework Help
Replies
17
Views
2K
  • Introductory Physics Homework Help
Replies
9
Views
406
Replies
12
Views
628
  • Introductory Physics Homework Help
Replies
5
Views
2K
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
896
  • Introductory Physics Homework Help
Replies
8
Views
2K
Back
Top