The angular velocity of a scooter wheel is 40 Radian per second if the diameter of the scooter wheel is 80 sentimeter calculate the speed of the scooter in metre per second?

Question

Answer

W=40 rad/sec,
r=80cm=0.8m,
V=w×r=40×0.8=32m/second

Answer

Calculation of Speed of Scooter

The following steps can be followed to calculate the speed of the scooter:

Step 1: Convert the diameter of the scooter wheel from centimeters to meters

Given diameter of the scooter wheel = 80 centimeters

1 meter = 100 centimeters

Therefore, diameter of the scooter wheel in meters = 80/100 = 0.8 meters

Step 2: Calculate the radius of the scooter wheel

Radius of the scooter wheel = Diameter/2

Therefore, radius of the scooter wheel = 0.8/2 = 0.4 meters

Step 3: Calculate the circumference of the scooter wheel

Circumference of the scooter wheel = 2πr

Where π = 3.14 and r = radius of the scooter wheel

Therefore, circumference of the scooter wheel = 2 x 3.14 x 0.4 = 2.512 meters

Step 4: Calculate the distance covered by the scooter in one revolution of the wheel

Distance covered by the scooter in one revolution of the wheel = Circumference of the scooter wheel

Therefore, distance covered by the scooter in one revolution of the wheel = 2.512 meters

Step 5: Calculate the speed of the scooter

Speed of the scooter = Angular velocity x Radius

Where Angular velocity = 40 Radian per second and Radius = radius of the scooter wheel

Therefore, speed of the scooter = 40 x 0.4 = 16 meters per second

Therefore, the speed of the scooter is 16 meters per second.

Answer

32 m /s

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