Car moving in circle with speed 5 meter per sec in radius of 1 m
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We have a car moving in a circular path with a speed of 5 meters per second and a radius of 1 meter. The car experiences centripetal acceleration directed toward the center of the circle. Let's visualize this motion and calculate the centripetal acceleration.
The centripetal acceleration formula is a c equals v squared divided by r. This acceleration always points toward the center of the circular path. The velocity vector is tangent to the circle, while the acceleration vector points radially inward.
Now let's substitute our values into the formula. We have v equals 5 meters per second and r equals 1 meter. Substituting into the centripetal acceleration formula, we get a c equals 5 squared divided by 1, which equals 25 meters squared per second squared divided by 1 meter.
Now we complete the calculation. Twenty-five meters squared per second squared divided by one meter equals twenty-five meters per second squared. Therefore, the centripetal acceleration of the car is twenty-five meters per second squared.
To summarize what we have learned: The centripetal acceleration formula is a c equals v squared divided by r. For our car with speed 5 meters per second and radius 1 meter, the centripetal acceleration is 25 meters per second squared. This acceleration always points toward the center and is essential for analyzing circular motion.