Calculate the acceleration of a car that is travelling at a constant speed of 100 km per hour on a straight road. The radius R of the Earth is 6370 km. Why do we not feel this acceleration?
centripetal acceleration due to Earth rotation.
angular rotation=w=2PI/(24*3600) rad/sec
acceleration=w^2*r=(2PI/(24*3600))^2*6.37E6 m/s^2=
.034 m/s^2
How does that compare to 9.8m/s^2
2.314814815E-05
To calculate the acceleration of the car, we need to know the change in speed over time. However, in this case, the car is traveling at a constant speed of 100 km per hour, meaning there is no change in speed, and therefore no acceleration. The car is maintaining a constant velocity, which means it is not accelerating or decelerating.
Now, regarding why we do not feel this acceleration, it is because the car is moving at a constant speed. Our bodies are also moving at the same speed as the car, so there is no relative difference in velocity between the car and our bodies.
In physics, what we feel as "acceleration" is actually a change in velocity, either in terms of speed or direction. When a car accelerates or decelerates, our bodies experience a change in velocity relative to the car, causing us to feel that acceleration. However, when the car maintains a constant speed, there is no relative change in velocity, and therefore we do not feel any acceleration.