Question

In: Physics

m (kg) r (m) Max(N) Min(N) v(m/s) Brass 0.20897 0.195 0.579 -0.636 0.77 Aluminum 0.06613 0.375...

m (kg) r (m) Max(N) Min(N) v(m/s)
Brass 0.20897 0.195 0.579 -0.636 0.77
Aluminum 0.06613 0.375 0.260 -0.234 1.23

Theoretical Centripetal Force= (mv^2)/r (This is in the manual)

Experimental Centripetal Force= |Max-Min|/2 (since the Min is negative, the two minus signs would become a plus)

1. Calculate the theoretical value for the centripetal force for the brass mass using the formula ?(v^2/r). (5 points)


2. Find the experimental value of the centripetal force for the brass mass. The amplitude of any simple sine wave can be calculated by dividing the difference between the maximum and minimum by 2. (5 points)

3. Find the % error for the centripetal force of the brass mass. (5 points)

4. Calculate the theoretical value for the centripetal force for the aluminum mass using the formula ?(v^2/r). (5 points)

5. Find the experimental value of the centripetal force for the aluminum mass. The amplitude of any simple sine wave can be calculated by dividing the difference between the maximum and minimum by 2. (5 points)

6. Find the % error for the centripetal force of the aluminum mass. (5points)

7. In regards to the force sensor in this experiment, what general direction does the centripetal acceleration vector point? (10 points)

8. Using only the equation for centripetal force, show by what factor the force would change if the velocity of the bob was reduced by half, and briefly explain the results. (10 points)

9. For a mass moving in a vertical circle, draw the free body diagram for when the mass is at the highest point of its path, and then write the force summation equation for that free body diagram. (10 points)

10. Why is the force sensor zeroed when the mass is freely hanging from the hook? (5 points)

11. Centripetal force is not a fundamental force of nature. Explain what is meant by this. (5 points)

12. Do the results of the experiment confirm the theory? Explain your answer. (5 points)

13. What are possible reasons for the differences between the experimental and theoretical values of centripetal force? (5 points)

Solutions

Expert Solution

The concept used in this question is of centripetal force which always acts towards the center , after applying this concept i deduced the values of experimental and theoretical values of centripetal acceleration.

kindly upvote my answer , if you like , by clicking on the like button.


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