Describe the plots you made for circular motion: a. Approximately what is the pe

Question

Describe the plots you made for circular motion:

a. Approximately what is the period T (in seconds) and frequency f (in Hz) of the motion?

b. How would you describe the relationship between the x and y motion?

c. What is your “meaningful variable” vs. time and why does it have the shape it has?

d. What do you expect the tangential speed to be and did it change over time? If so, why?

Circular Motion Theory Velocity Uniform circular motion is the movement of an object with mass m along the circumference of a circle with radius r at a constant speed. The speed of the object may be described in two ways Centripetal Force linear speed or tangential speed v-measured in [m/s], this is the familiar speed at which the object is travelling, were it travelling in a straight line. If, for example, the motion of the object were to be all-of-a-sudden unconstrained by the circle, the object would fly off in a straight line with this speed angular speed (pronounced "omega")-measured in [radians/s] or [degrees/s], this is the rate at which the object sweeps through an angle per unit time. Notice that this value is independent of the size of the circle! Furthermore, the period T of the motion is the time it takes, in seconds, for the object to return to its starting position. The frequency f with which this occurs is defined as If the angle is measured in radians, where 2radians]=360%, then At T The tangential speed is related to the angular speed, period and radius through 2 Due to the object's constantly changing linear direction, the object experiences a linear acceleration toward the center of the circle. The magnitude of this acceleration is:

Explanation / Answer

a) The entry 10 and 17 are similar in terms of position coordinates, subtracting one from other, we get the

time period= 0.71097 s

Frequency= 1.406 Hz

b) the relationship between x and y is repetative and periodic due to the circular motion of the body in the system. This is why we see recurring lines which in the absence of time factor would have superimposed over one another

c) Meaningful variable is the one that is recurring over a period of time. Hence a meaningful variable could have been distance, y or angle. Here from the plot we can see that y is a meaningful variable to the uniformity it mantains in the graph. If we have a smaller time interval between observation, the graph would have been more symmetric

d) The tangential speed should remain constant over the period of time since speed in a uniform circular moton is constant. That is why we see from the table (Column F) that it doesn't change over a period of time

N.B I think that the excel sheet or spreadsheet has been made by you. I would suggest to keep a more close time variable observation. That would make your graphs, calculation and analysis more prominent and easier

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.