Physics
posted by Hillary .
A car rounds a 1.35km radius circular track at 93 km/h.
Find the magnitude of the car's average acceleration after it has completed onefourth of the circle.

93 km/h=93000/3600=25.8 m/s
Centripetal acceleration is
a=v²/R=25.8²/1350 =0.49 m/s²
The average acceleration =
=Δv/Δt = (v₂v₁)/Δt
Since velocity is vector, vecor Δv can be found as vector difference (taking into account that velocity vector changed its direction by 90 degrees after the point has completed ¼ of the circle) => Δv = v•√2.
The time for the uniform motion for ¼ of the circle is
Δt=s/v=(2πR)/4v =π•1350/2•25.8 = 82.2 s,
a(ave) = Δv/Δt = 25.8•√2/82.2 =
=0.44 m/s²
Respond to this Question
Similar Questions

PHYSICS
super easy (I think) but I must be missing some concept... A race car starts from rest on a circular track. The car increases its speed at a constant rate at as it goes 5.00 times around the track. Find the angle that the total acceleration … 
physics
A race car starts from rest on a circular track. The car increases its speed at a 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 center … 
Physics
A 1900 car starts from rest and drives around a flat 50diameter circular track. The forward force provided by the car's drive wheels is a constant 1300 . A) What is the magnitude of the car's acceleration at ? 
physics
A 640kg racing car completes one lap in 14.3 s around a circular track with a radius of 45.0 m. The car moves at constant speed. (a) What is the acceleration of the car? 
physAH!
A car that is initially at rest moves along a circular path with a constant tangential acceleration component of 2.07 m/s2. The circular path has a radius of 42.4 m. The initial position of the car is at the far west location on the … 
Physics
A 640kg racing car completes one lap in 14.3 s around a circular track with a radius of 55.0 m. The car moves at constant speed.(a) What is the acceleration of the car? 
physics
A 605kg 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? 
pyscics
a race car starts from rest on a circular track the car in races as its speed at a constant rate of 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 centre … 
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 centre … 
Physics
A 625kg racing car completes one lap in 14.3 s around a circular track with a radius of 50.0 m. The car moves at a constant speed. (a) What is the acceleration of the car?