Advertisements
Advertisements
Question
Make L the subject of formula T = `2pisqrt("L"/"G")`
Solution
T = `2pisqrt("L"/"G")`
⇒ `"T"/(2pi) = sqrt("L"/"G"`
squaring both sides
⇒ `("T"/(2pi))^2 = "L"/"G"`
⇒ `"G"("T"/(2pi))^2` = L
⇒ L = `("GT"^2)/(4pi^2)`.
APPEARS IN
RELATED QUESTIONS
The fahrenheit temperature, F is 32 more than nine -fifths of the centigrade temperature C. Express this relation by a formula.
The arithmetic mean M of the five numbers a, b, c, d, e is equal to their sum divided by the number of quantities. Express it as a formula.
Make a formula for the statement:"The number of diagonals, d, that can be drawn from one vertex of an n sided polygon to all the other vertices is equal to the number of sides of the polygon less 3"
Make a the subject of formula S = `("a"("r"^"n" - 1))/("r" - 1)`
Make A the subject of formula R = `("m"_1"B" + "m"_2"A")/("m"_1 + "m"_2)`
If 3ax + 2b2 = 3bx + 2a2, then express x in terms of a and b. Also, express the result in the simplest form.
Make y the subject of the formula `x/"a" + y/"b" `= 1. Find y, when a = 2, b = 8 and x = 5.
Make m the subject of the formula x = `"my"/(14 - "mt")`. Find m, when x = 6, y = 10 and t = 3.
Make g the subject of the formula v2 = u2 - 2gh. Find g, when v = 9.8, u = 41.5 and h = 25.4.
"The volume of a cylinder V is equal to the product of π and square of radius r and the height h". Express this statement as a formula. Make r the subject formula. Find r, when V = 44cm3, π = `(22)/(7)`, h = 14cm.