The time period, T, of a simple pendulum is directly proportional to the square root of the length, d, of the pendulum. When d=6, T=5

Find the value of T when d=3

Input note: give your answer correct to 2 decimal place.

Step-by-step explanation:

Given

Direct Variation of T to

Required

Determine T when d = 3

The variation can be represented as:

Convert to equation

; so we have:

Make k the subject:

To solve for T when d = 3.

Substitute 3 for d and in

-- approximated

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents