College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:Name of the Experiment: Measurement of gravity: Use of a simple
pendulum
Purpose of the experiment: To measure the acceleration due to gravity (g) using a
simple pendulum.
Apparatus: Support stand with a string clamp, a small spherical ball with a 125
cm length of light string, a meter stick, a Vernier caliper, and a timer.
Theory: A pendulum is a weight suspended from a pivot so it can swing freely.
When a pendulum is displaced from its resting equilibrium position, it is subject to
a restoring force due to gravity that will accelerate it back toward the equilibrium
position. When released, the restoring force will cause it to oscillate about the
equilibrium position, swinging back and forth. The time for one complete cycle, a
left swing and a right swing, is called the period.
The setting of the apparatus is as shown in the figure below:
-Split cork
0 <10°
-Rule
IF.A
Stop watch
Thread
Bob
Medical Applications: Use the simple pendulum in medicine to calculate
heartbeat.
![T
30cm
Method:
1. Measure the length of the pendulum to the middle of the pendulum bob.
Record the length of the pendulum (L) in the table below.
2. With the help of a lab partner, set the pendulum in motion until it completes 10
oscillations, taking care to record this time. Then the period T for one oscillation is
just the number recorded divided by 10.
3. You will make a total of eight measurements for g using two different masses at
four different values for the length L. Note: - 3.14,4 m²= 39.44
Readings:
1- The period, T of a simple pendulum (measured in seconds) is given by the
formula:
T=2π √√L/g.......(1)
time for 10 oscillations
10 oscillations
T=
..(2)
Using equation (1) to solve for g, L is the length of the pendulum (measured in
meters) and g is the acceleration due to gravity (measured in meters/sec²). Now
with a bit of algebraic rearranging, we may solve Eq. (1)for the acceleration due to
gravity g. (You should derive this result on your own).
47² L
T²
47²
slope
1- Put your readings in the following table:
Readings:
L (cm) Time for 10 Time for 10 Period T (sec) T¹ (sec¹)
oscillation
oscillation/10
g=
g=
T' (sec)²
.......
2- Plot a graph of T2 on y- axis versus L on x- axis then find the slope.
6-23
T. I Год.
10 cm 6-28 6.19
20cm 8.19 8.6 8.4
30cm 10.8 10-6 10.7
40cm 12.5 123 124
(3)
..(4)
To
L (cm)
T
0.623 0.389
0.840 0.659
1.37 1.144
·1-24 1.537
0
16
1.5
1.1.
1-2-
1-2-
11-
]
14
0-9 -
6.F.
0.7-
0.6.
24
"24
10
Slope - ATAL
15x152
0.7
24 3. Yo
slap==—=—
g=
اد
-Lx/²
==_017
47²
slope 4.66
16x10²
+2
0
4X1-8
² = 8.42](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F94458cf2-014b-466a-bada-fa68de68f3b9%2F0213b7de-70be-4fcc-8b9d-c3b3b3b62bb8%2Fzpgddv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:T
30cm
Method:
1. Measure the length of the pendulum to the middle of the pendulum bob.
Record the length of the pendulum (L) in the table below.
2. With the help of a lab partner, set the pendulum in motion until it completes 10
oscillations, taking care to record this time. Then the period T for one oscillation is
just the number recorded divided by 10.
3. You will make a total of eight measurements for g using two different masses at
four different values for the length L. Note: - 3.14,4 m²= 39.44
Readings:
1- The period, T of a simple pendulum (measured in seconds) is given by the
formula:
T=2π √√L/g.......(1)
time for 10 oscillations
10 oscillations
T=
..(2)
Using equation (1) to solve for g, L is the length of the pendulum (measured in
meters) and g is the acceleration due to gravity (measured in meters/sec²). Now
with a bit of algebraic rearranging, we may solve Eq. (1)for the acceleration due to
gravity g. (You should derive this result on your own).
47² L
T²
47²
slope
1- Put your readings in the following table:
Readings:
L (cm) Time for 10 Time for 10 Period T (sec) T¹ (sec¹)
oscillation
oscillation/10
g=
g=
T' (sec)²
.......
2- Plot a graph of T2 on y- axis versus L on x- axis then find the slope.
6-23
T. I Год.
10 cm 6-28 6.19
20cm 8.19 8.6 8.4
30cm 10.8 10-6 10.7
40cm 12.5 123 124
(3)
..(4)
To
L (cm)
T
0.623 0.389
0.840 0.659
1.37 1.144
·1-24 1.537
0
16
1.5
1.1.
1-2-
1-2-
11-
]
14
0-9 -
6.F.
0.7-
0.6.
24
"24
10
Slope - ATAL
15x152
0.7
24 3. Yo
slap==—=—
g=
اد
-Lx/²
==_017
47²
slope 4.66
16x10²
+2
0
4X1-8
² = 8.42
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