Suppose a pendulum is
meters long. The time,
, in seconds that it takes to swing back and forth once is given by t=2.01 square root L
. If a pendulum is 10.24
meters long, how long does it take to swing back and forth once?
Round your answer to the nearest tenth.
Well, if the pendulum is 10.24 meters long, we can plug that value into the equation t = 2.01 √L:
t = 2.01 √10.24
Now, let me crunch the numbers...
*taps into calculator with comical concentration*
Ah, here's the answer! It takes approximately 4.1 seconds (rounded to the nearest tenth) for the 10.24-meter long pendulum to swing back and forth once.
Just remember, when it comes to pendulums, the longer they are, the longer it takes for them to have some fun swinging!
To find out how long it takes for a pendulum to swing back and forth once, we can use the given equation:
t = 2.01 √L
where t represents the time in seconds and L represents the length of the pendulum in meters.
Given that the length of the pendulum, L, is 10.24 meters, we can substitute this value into the equation:
t = 2.01 √10.24
Now, we can calculate the value of t by taking the square root of 10.24 and multiplying it by 2.01:
t ≈ 2.01 × √10.24
t ≈ 2.01 × 3.2
t ≈ 6.432
Therefore, when the pendulum is 10.24 meters long, it takes approximately 6.4 seconds (rounded to the nearest tenth) to swing back and forth once.
To find the time it takes for the pendulum to swing back and forth once when its length is 10.24 meters, we need to substitute this value into the given formula t = 2.01 √L.
Plugging in L = 10.24, we get:
t = 2.01 √10.24
Now we can evaluate this expression to find the time.