# physics

A test car starts out from rest on a horizontal circular track of 80m radius and increases it's speed at a uniform rate to reach 27.78 m/s in 10s. Find the magnitude of the total acceleration of the car 8s after the start.

Ok so I know that the total acceleration is the square root of the tangential acceleration squared plus the normal acceleration squared. What I'm not sure of is how to find these components at t = 8s, since the velocity isn't constant then. It says that it increases it's speed at a constant rate to reach the 27.78 m/s so does that mean that the acceleration is the same for any time during that 10s interval? Any help would be appreciated

1. 👍 0
2. 👎 0
3. 👁 695
1. The radial accleration is V^2/R, where V is the velocity at that time. At t=8 s, V would be 4/5 of 27.78 m/s.

The tangential acceleration is the tate at which the speed increases with time, which is 2.778 m/s^2

1. 👍 0
2. 👎 0
2. thank you so much! this really helped me see where i went wrong

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Physics

A race car starts from rest in the pit area and accelerates at a uniform rate to a speed of 35 m/s in 11s, moving on a circular track of radius 500 m. Determine the tangential and centripetal components of the net force excreted

2. ### physics

4. A 1500 kg car starts from rest and drives around a flat 50 m diameter circular track. The forward force provided by the car’s wheels is a constant 1000 N. a. What are the magnitudes and direction of the car’s acceleration

3. ### physics

A 605-kg racing car completes one lap in 14.3 s around a circular track with a radius of 40.0 m. The car moves at constant speed. (a) What is the acceleration of the car? (b) What force must the track exert on the tires to produce

4. ### Physics

A car traveling on a flat (unbanked) circular track accelerates uniformly from rest with a tangential acceleration of 1.70 m/s2.The car makes it one quarter of the way around the circle before it skids off the track. Determine the

1. ### physics

A 905 kg test car travels around a circular track with a circumference of 3.25 km. If the magnitude of the force that maintains the car's circular motion is 2140 N, what is the car's tangential speed?

2. ### PHysics!!

Starting from rest at a height equal to the radius of the circular track, a block of mass 25 kg slides down a quarter circular track under the influence of gravity with friction present (of coefficient μ). The radius of the track

3. ### Dynamics

A car travels around a horizontal circular track of radius 45m.If the car increases its speed at a constant rate of 1.2m/s2 starting from rest, determine the time needed for it to reach an acceleration of 1.4m/s2. What is its

4. ### Physics . pls help me :)

Two train cars are on a straight, horizontal track. One car starts at rest and is put in motion with a constant acceleration of 2m/s^2. This car moves towards a second car that is 30 away. The second car is moving away from the

1. ### physical science

A car travels at a constant speed around a circular track whose radius is 3.5 km.The car goes once around the track in 400 s.What is the magnitude of the centripetal acceleration of the car?

2. ### kinematics

A car is travelling on a banked circular racetrack, Given that the track is banked at an angle of 16degree to the horizontal and the radius of the track is 50 metres and there are no friction forces present a) draw a free body

3. ### physics

a race car starts from rest on a circular track.the car increases its speed at constant rate at as it goes 2.75 times around the track.find the angle that the total acceleration of the car makes with the radius connecting the

4. ### Physics

A race car starts from rest on a circular track of radius 500 m. The car's speed increases at the constant rate of 0.520 m/s2. At the point where the magnitudes of the centripetal and tangential accelerations are equal, find the