- #1
minimario
- 95
- 2
Homework Statement
Homework Equations
##v = r \omega ##??
The Attempt at a Solution
The answer is 0...why?
Why is the Instantaneous Speed Zero in this Rotational Motion Problem?
In summary, when an object is rolling without slipping, the speed of any point on its circumference that is in contact with the surface it is rolling on does not move forward or backward on the surface. The speed of the rolling body is the sum of its translational and rotational speeds, with the translational speed being equal and opposite to the rotational speed at the point of contact. However, the rotational speed cannot be calculated without additional data. The key concept is that this results in a net force of zero.
##v = r \omega ##??
The answer is 0...why?
- #2
HallsofIvy
Science Advisor
Homework Helper
- 42,989
- 975
Because the "object is rolling without slipping". That means that any point on the objects circumfence that is in contact with the surface on which it is rolling does not move forward of backward on the surface.
(Oh, and saying "the instantaneous speed is 0" is NOT the same as saying "there is no instantaneous speed"!)
(Oh, and saying "the instantaneous speed is 0" is NOT the same as saying "there is no instantaneous speed"!)
- #3
spaghetti3451
- 1,344
- 33
The speed of any point of the rolling body is the sum of its speed due to translational motion and its speed due to rotational motion.
What is the translational speed of the point of contact of the rolling body?
What is the rotational speed of the point of contact of the rolling body?
What is the translational speed of the point of contact of the rolling body?
What is the rotational speed of the point of contact of the rolling body?
- #4
spaghetti3451
- 1,344
- 33
Well, I now see that there isn't enough data in the problem to calculate the rotational speed of the point of contact. But, the key idea is that the translational speed and the rotational speed are equal and opposite, leading to a net force of zero.
1. What does "No Instantaneous Speed" mean?
"No Instantaneous Speed" means that an object does not have a constant speed at any particular moment in time. It is the concept of an object's speed changing continuously over time.
2. Why is it important to understand "No Instantaneous Speed"?
Understanding "No Instantaneous Speed" is important because it helps us accurately describe and analyze the motion of objects in the real world. It also allows us to make predictions about the future motion of objects.
3. How is "No Instantaneous Speed" different from average speed?
While average speed is the total distance traveled divided by the total time taken, "No Instantaneous Speed" takes into account the constantly changing speed of an object at any given moment. Average speed is a single value, while "No Instantaneous Speed" is a continuously varying quantity.
4. Can an object have a "No Instantaneous Speed" of zero?
Yes, an object can have a "No Instantaneous Speed" of zero if it is at rest or moving at a constant speed. This means that its speed is not changing at any particular moment, but it may still have an average speed over a period of time.
5. How is "No Instantaneous Speed" related to acceleration?
"No Instantaneous Speed" and acceleration are closely related concepts. Acceleration is the rate of change of an object's velocity, and since velocity includes both speed and direction, a change in either of these can result in acceleration. "No Instantaneous Speed" is the concept of an object's speed changing over time, so it is a key factor in calculating acceleration.
Similar threads
-
Introductory Physics Homework Help
-
Introductory Physics Homework Help
-
Introductory Physics Homework Help
-
Introductory Physics Homework Help
-
Introductory Physics Homework Help
-
Introductory Physics Homework Help
-
Introductory Physics Homework Help
-
Introductory Physics Homework Help