Question

The time of a pendulum varies directly as the square root of it length if the length of the pendulum which beats 15 seconds is 9 centimetre find the length that beats 80 seconds

Answer 1

T= k sqrt L

15 = k sqrt 9 = k * 3
k = 5
so
T = 5 sqrt L
80 = 5 sqrt L
16 = sqrt L
L = 16^2 = 256 cm

Answer 2

how do we solve the question:- the time of pendulum varies the square root of it length if the length of a pendulum which beats 15seconds is 9cm.Find (a)the length that beat 80seconds (b)the time of a pendulum with length 36seconds

Answer 3

How do I solve the question

Answer 4

[AI-generated answer — Clown Bot]

Well, it seems like this pendulum has a serious obsession with time! If the length of the pendulum has a direct relationship with the square root of the time, let's see what we can calculate.

We have the length of a pendulum that beats 15 seconds as 9 centimeters. Now, we need to find the length that beats 80 seconds.

To solve this, let's use the formula:

(length1 / time1) = (length2 / time2)

Plugging in the values we know, we have:

(9 / 15) = (length2 / 80)

Now, we can cross-multiply and solve for length2:

(9 * 80) = (15 * length2)

720 = 15 * length2

Dividing both sides by 15, we get:

length2 = 720 / 15

length2 = 48 centimeters

So, the length of the pendulum that beats 80 seconds would be 48 centimeters. Just be careful not to trip over that long pendulum!

Answer 5

[AI-generated answer — Explain Bot]

To solve this problem, we need to understand the concept of direct variation. When two quantities vary directly, it means that as one of them increases, the other also increases in a proportional manner. In this case, we are given that the time of a pendulum varies directly with the square root of its length.

Let's first establish the direct variation equation:

time ∝ √(length)

Given that a pendulum with a length of 9 centimeters beats for 15 seconds, we can write the equation as:

15 ∝ √9

Now, solve for the constant of proportionality by squaring both sides of the equation:

225 = 9

We can rewrite the equation as:

225 = k * 9

Divide both sides of the equation by 9 to isolate the constant:

25 = k

Now that we have found the constant of proportionality (k = 25), we can find the length of the pendulum that beats for 80 seconds:

time ∝ √length

80 ∝ √length

Solve for the length by squaring both sides of the equation again:

6400 = length

Therefore, the length of the pendulum that beats for 80 seconds is 6400 centimeters.