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Exercises 1.9 Variation NAME: SCORE: COURSE: YEAR: SCHEDULE: Solve the following problems. | The period of a simple pendulum (the time for it to swing across and back) varies as the square root of its length. A.) If a pendulum 8 inches long has a period of 0.45 second, what is the period of a pendulum 32 inches long? B.) What is the length of a pendulum whose period is | second? 2. if y varies as x and is equal to 24 when x is equal to 15. find the value of y when x is equal to 10, 31/2 and 61/4? 3. If z varies directly as x and inversely as y and is equal to 4 when x and y have the values of 12 and 8 respectively, what is the value of z when x is equal to 6/7 and y is 5/28? DRAFT 4. If z varies directly as the cube of x and inversely as the square of y and is equal to 14 when x and y have the values of 4 and 6 respectively, what is the value of z when x is equal to 2 and y is equal to 3? 5. The power required to operate a fan varies as the cube of the speed> If 1/2 horse power will drive a fan at a speed of 100 revolutions per minute, A.) How fast will 4 horse powers drive it? B.) What horse power will be required to give a speed of 120 revolutions per minute