Question

the pedals of a bicycle are mounted on a bracket whose centre is 28.0cm above the ground. each pedal is 15.5cm from the centre of the bracket. assuming that the biycle is pedalled at 20 cycles per minute and that the pedal starts at time t=0s at the topmost position, write an equation which describes this sinusoidal movement

h = 28 cos + + 15.5 h = 15.5 cos *t + 28 h = 28 cos + + 15.5 h = 15.5 cos *t + 28

Answer 1

AR initial position of padel. CR h(t) h(t) = height of padel Since length of padel at time to 15.5cm , so the radius of the drawn circular path of moving padel is And height of the centre C is 28.0 cm above the ground. "centre 15.5 cm. TH ground

Hence the required sinascidal equation is hlt) = 15-5 sm Wt+) + 28 where w= 28 21 since T= 20 por cycles per minute 20 an 9 Since initially at t:o hchyi 15.5 sin ( + 0) + 28 (-h(0)) = 28 + 15-5 Ito So, 28 +15.5 + sino = F al 2 So the equation is h(t) = 1505 sim lut +) +28 + = 15.5 203 eos (20) + 28 1. h = 15.5 cos 25 t + 28 20 second opetion