Rewrite 4/10 : 1/25 as a unit rate. A: 10:1 B: 25:4 C: 2:125 D: 100:1
1 answer:
You might be interested in
The cosine function, d = acos(bt), to model the distance, d, of the pendulum from the center (in inches) as a function of time t (in seconds) is d(t) = 6cos(t).
As long as its length is constant, a pendulum completes each swing (or oscillation) in precisely the same amount of time. Any particular pendulum oscillates for a fixed amount of time.
Calculation for the cosine function-
The given function is: cosine function, d = acos(bt).
As, the pendulum takes 1 second for the pendulum of a grandfather clock to swing a horizontal distance of 12 inches from right to left, and 1 second for the pendulum to swing back from left to right.
The total time 't' by the pendulum is 2 sec.
Calculate the angular speed of the pendulum by-
ω = 2f
= 2×(1/2)
ω = which is 'b' value of the given function.
As given, the distance of the pendulum from the centre is half of the total distance.
a = 12/2
a = 6
Substitute the obtained values in the cosine function, d = acos(bt),
d(t) = 6cos(t)
Therefore, the cosine function, d = acos(bt), to model the distance, d, of the pendulum from the center (in inches) as a function of time t (in seconds) is d(t) = 6cos(t).
To know more about the basic principle of the pendulum, here
#SPJ4
The complete question is -
Starting at its rightmost position, it takes 1 second for the pendulum of a grandfather clock to swing a horizontal distance of 12 inches from right to left, and 1 second for the pendulum to swing back from left to right. Write a cosine function, d = acos(bt), to model the distance, d, of the pendulum from the center (in inches) as a function of time t (in seconds).