The angular displacement θ (in radians) for a simple pendulum is given by θ = 0.175 sin π t . a. Determine the period of the pendulum. b. How many swings are completed in 1 sec ? c. To the nearest degree, what is the maximum displacement of the pendulum? d. The length L of a pendulum is related to the period T by the equation T − 2 π L g , where g is the acceleration due to gravity. Find the length of the pendulum to the nearest meter g = 9.8 m / s e c 2 .
The angular displacement θ (in radians) for a simple pendulum is given by θ = 0.175 sin π t . a. Determine the period of the pendulum. b. How many swings are completed in 1 sec ? c. To the nearest degree, what is the maximum displacement of the pendulum? d. The length L of a pendulum is related to the period T by the equation T − 2 π L g , where g is the acceleration due to gravity. Find the length of the pendulum to the nearest meter g = 9.8 m / s e c 2 .
Solution Summary: The author calculates the period of the pendulum and the number of swings completed in 1sec.
The angular displacement
θ
(in radians) for a simple pendulum is given by
θ
=
0.175
sin
π
t
.
a. Determine the period of the pendulum.
b. How many swings are completed in
1
sec
?
c. To the nearest degree, what is the maximum displacement of the pendulum?
d. The length
L
of a pendulum is related to the period
T
by the equation
T
−
2
π
L
g
, where
g
is the acceleration due to gravity. Find the length of the pendulum to the nearest meter
g
=
9.8
m
/
s
e
c
2
.
The angle of elevation of the Sun is 35.1 degrees at the instant the shadow cast by the PLDT tower is 789
feet long. Use this information to calculate the approximate height of the tower.
O a. 555 ft
O b. 300 ft
C.
355 ft
O d. 250 ft
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