Question

Solving variation problem

5. Let a be directly proportional to m and n2, and inversely proportional to y3. If a9 when m 4,n-9, and y - 3, find a when m-6,n2, and y -5. 7. Current Flow In electric current flow, it is found that the resistance offered by a fixed length of wire of a given material varies inversely as the square of the diameter of the wire. If a wire 0.01 in. in diameter has a resistance of 0.4 ohm, what is the resistance of a wire of the same length and material with diameter 0.03 in., to the nearest ten-thousandth of an ohm? orce wind · oy The force of the wind blowing on a vertical surface varies jointly as the area of the surface and the square of the velocity. If a wind of 40 mph exerts a force of 50 lb on a surface of ft?, how much force will a wind of 80 mph place on 4 cm r a surface of 2 ft2? IS. Period of a Pendulum The period of a pendulum varies directly as the square roo of the length of the pendulum and inversely as the square root of the acceleration due to gravity. Find the period when the length is 121 cm and the acceleration dueto gravity is 980 cm per second squared, if the period is 6 seconds when the lengthi 289 cm and the acceleration due to gravity is 980 cm per second squared

Answer 1

2. a dm 2. 2 where k consfant (3 )3 333x2 K Fimd a wher 2 a 8 12S