1) if the theoretical value of a quantity is 3.142 and the calculated value is 3

Question

1) if the theoretical value of a quantity is 3.142 and the calculated value is 3.146, what is the percent error?

2) In an experiment to measure the value of pi, the following results are obtained for pi:

a) 3.14 b) 3.13 c) 3.24 d) 3.06 e) 3.02

If the correct value is 3.1459, calculate the percent error.

3) what determines the number of significant figures used in reporting measured values?

a) the accuracy of the calculations. b) the accuracy of the equipment

4) Calculate to the correct number of significant figures:

21.414+15.231+17.27+5.01

5) If the time period for a certain pendulum while standing in the Lab, is T second, will the time period be longer or shorter if (circle correct answer)

a) it is taken to the moon: (Longer) (Shorter)

b) It is taken to the planet Jupiter (Longer) (Shorter)

c) it is an elevator that is accelerating upwards   (Longer) (Shorter)

6) For a vertically oscillating spring-mass system, should the time period depend on the amplitude of oscillation?

Yes or NO?

7) What error can you expect if you use the stopwatch to measure the time for only 10 oscillations instead of 50 as mentioned in the manual?

8) If the time period of a certain sprint-mass system is 3.0 second, what will be the new time period if: (write new value of T)

a) the mass is doubled:

b) the length of the spring is doubled:

c) the amplitude is doubled:

9) if a pendulum has a length of 0.8 meter, and you measure a time period of 3.0second, what is the value of acceleration due to gravity at that place.

10) List at least 3 sources of error in this experiment

Explanation / Answer

here,

%error , R = |(expermental value - theoritical value)/theritical value| * 100

Part 1:
R = |(3.146 - 3.142)/3.142| * 100
R = 0.127 %

Part 2:
Expermental value of pi, pi = 3.14

error, R = |(3.1459 - 3.14)/3.14| * 100
R = 0.187 %

Part 3:
Accuracy of calculation decide significant figures,

part 4:

21.414 + 15.231 + 17.27 + 5.01 = 58.925

above calculation have 5 sig figure corrected to 3 decomal places

solution to 2 sig figures = 59

Part 5:
time peroid of pendulum, t = 2pi*sqrt(l/g)
or t^2 = 1/g ( inverse relation)

g on earth 9.81 m/s

a) on moon = 1.62 = increases
b) on jupiter = 26 m/s^2 = decreases
c) on upwards = (a + g) = decreases

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