What is the maximum displacement The displacement d in meter

What is the maximum displacement?

The displacement d (in meters) of an object at time t (in seconds) is given by the following equation. d= 10 sin (7t) Describe the motion of the object. Is the motion simple harmonic? Yes No What is the maximum displacement from its resting position? meters What is the time required for one oscillation? seconds (Simplify your answer. Type an exact answer, using pi as needed. Use integers or fractions for any numbers in the expression.) What is the frequency? oscillations per second (Simplify your answer. Type an exact answer, using pi as needed. Use integers or fractions for any numbers in the expression.)

Solution

a) yes motion is simple harmonic

b) maximum displacement =10

c)time required for one oscillation T=2/7

a)frequency=1/T =7/(2)