	A	B	C	D	E
1	Pendulum Timing Analysis
2
3	Name: Colin Huang
4	Section: A07
5
6	Variable Description	Variable Name	Values/Equations	Units	Comments
7	Acrylic Pendulum Specifications
8	Area	A	87.139	cm^2
9	Thickness	t	0.635	cm
10	Volume	Vol	55.333265	cm^3
11	Density	p	1.188	g/cm^3
12	Calculated Mass of Acrylic	M_Calc	65.73591882	g
13	Length to Center of Mass of Acrylic	La	5.738	cm
14
15	Calculate Total Mass of Pendulum
16	Mass of One Bolt with Two Nuts	Mb	4	g
17	Number of Bolts with Two Nuts	Nb	8	bolts
18	Total Mass of Pendulum with Nuts and Bolts	Mt	97.73591882	g	calculated
19
20	Calculate Center of Mass of Pendulum with Bolts
21	Length to Center of Mass of Bolt 1	L_bolt1	10.414	cm	distance from pivot point to bolt
22	Length to Center of Mass of Bolt 2	L_bolt2	11.43	cm	distance from pivot point to bolt
23	Length to Center of Mass of Bolt 3	L_bolt3	11.938	cm	distance from pivot point to bolt
24	Length to Center of Mass of Bolt 4	L_bolt4	12.954	cm	distance from pivot point to bolt
25	Length to Center of Mass of Bolt 5	L_bolt5	10.414	cm	distance from pivot point to bolt
26	Length to Center of Mass of Bolt 6	L_bolt6	11.43	cm	distance from pivot point to bolt
27	Length to Center of Mass of Bolt 7	L_bolt7	11.938	cm	distance from pivot point to bolt
28	Length to Center of Mass of Bolt 8	L_bolt8	12.954	cm	distance from pivot point to bolt
29	Length to Center of Mass in Meters	Lcom_meter	0.05738	meters	make sure you convert meters
30	Estimated Center of Mass of Pendulum with Nuts and Bolts	Lcom_est	0.07684797066	meters
31	Percent Error in Pendulum Nuts and Bolts Lcom Estimate	Lcom_error	4.10164291	%
32
33	Calculate Natural Frequency and Timing using Point Mass Assumption
34	Gravitational Constant	g	9.8	m/s^2
35	Natural Frequency in radians/sec	nat_freq_rad_sec	11.29267517	rad/s
36	Natural Frequency in Hz	nat_freq_hz	1.797285075	Hz
37	Period of Oscillation	period	0.5563947613	s/cycle
38	Number of Teeth on Escapement Wheel	nteeth	14
39	Calculated Time of One Revolution of Escapement Wheel	time_calc	7.789526658	s
40	Measured Time of One Revolution of Escapement Wheel	time_meas	9.78313253	s
41	Percent Error in Clock Timing	time_error	25.59341485	%
42
43	Calculate Natural Frequency and Timing using Rigid Body Assumption
44	Moment of Inertia of Pendulum	I_a	3994.287	gcm^2
45	Moment of Inertia of Bolt 1	I_bolt1	449.0161	gcm^2
46	Moment of Inertia of Bolt 2	I_bolt2	524.8681	gcm^2
47	Moment of Inertia of Bolt 3	I_bolt3	586.6084	gcm^2
48	Moment of Inertia of Bolt 4	I_bolt4	675.376144	gcm^2
49	Moment of Inertia of Bolt 5	I_bolt5	449.0161	gcm^2
50	Moment of Inertia of Bolt 6	I_bolt6	524.8681	gcm^2
51	Moment of Inertia of Bolt 7	I_bolt7	586.6084	gcm^2
52	Moment of Inertia of Bolt 8	I_bolt8	675.376144	gcm^2
53	Total Moment of Inertia	I_total	8466.024488	gcm^2
54	Natural Frequency in radians/sec	rb_nat_freq_rad_sec	9.32430733	rad/s
55	Natural Frequency in Hz	rb_nat_freq_hz	1.484009603	Hz
56	Period of Oscillation	rb_period	0.6738500871	s/cycle
57	Calculated Time of One Revolution of Escapement Wheel	rb_time_calc	9.43390122	s
58	Percent Error in Clock Timing	rb_time_error	3.701875841	%