a mosquito lands on a small bicycle wheel 10.2cm from the wheels center. If the wheel turns clockwise so that the mosquito travels along an arc lenght of 9 cm what is the mosquitos angular displacement?
angle= aredistance/radius
angle in radians=9cm/10.2cm= 9/10.2 radians
To find the mosquito's angular displacement, we need to use the formula:
Angular Displacement = Arc Length / Radius
Given that the arc length is 9 cm and the distance between the mosquito and the wheel's center is 10.2 cm, we can calculate the mosquito's angular displacement.
Angular Displacement = 9 cm / 10.2 cm
Angular Displacement ≈ 0.8824 radians
So, the mosquito's angular displacement is approximately 0.8824 radians.