Movement of Pendulum
A pendulum swings through an angle of 20 degree each second. if the pendulum is 40 inches long, how far dose its trip move each second ?
arcdistance=radius*angleinradians
you are given the radius.
arcinradians= 20deg*PI/180
13.962
arc in radians = 20 degrees * π/180 = 0.3491 radians
Now we can calculate the distance traveled by the pendulum each second:
arc distance = radius * arc in radians
arc distance = 40 inches * 0.3491 radians
arc distance = 13.964 inches
Therefore, the pendulum moves approximately 13.964 inches each second.
To find the distance the pendulum moves each second, you can use the formula for arc distance: arc distance = radius * angle in radians.
Given that the pendulum is 40 inches long, the radius is 40 inches.
Now, you need to convert the angle from degrees to radians.
The conversion factor for degrees to radians is π/180.
So, the angle in radians can be calculated as follows:
angle in radians = 20 degrees * π/180
Now you can substitute the values into the formula:
arc distance = 40 inches * (20 degrees * π/180)
Simplifying the expression:
arc distance = 40 inches * (20 * π) / 180
Multiplying and dividing:
arc distance = 40 inches * π / 9
Calculating the value:
arc distance ≈ 13.9 inches
Therefore, the pendulum moves approximately 13.9 inches each second.