Physics
CIRCULAR MOTION
A car takes a curve with 300m radius at a velocity of 60 m/s.
a) Determine the change in velocity (module and direction) when it travels an arc of 60 degrees
b)Compare the magnitude of the instantaneous acceleration of the car with a magnitude of the average acceleration to transverse the arc

Change in velocity
Δv⃗=v⃗₂v⃗₁
Δv=sqrt(v²+v²2v•v•cos60°)=sqrt(2v²(1cos60°))=
=sqrt{2•60(10.5)}=7.74 m/s
The distance covered by the car is
s= 2•π•R•60°/360°=2•π•300/6=314 m
t= s/v=314/60=5.23 s
a=Δv /t=7.74/5.23 =1.48 m/s²
Centripetal acceleration (instantaneous acceleration)
a= v²/R= 60²/300=12 m/s²
posted by Elena

Change in velocity
vecorΔv =vecor v₂vecorv₁
posted by Elena

I don't know if you'll ever see this but thank you for taking the time to answer all 3 of my questions! I can't tell you enough how much it's helping me
posted by Leslie
Respond to this Question
Similar Questions

Physics
A car is traveling over the top of a hill, which we will model to be a piece of a circular arc of radius R. For each case below, draw careful toscale motion maps and use them to construct the velocity vectors at the following 
Physics
(a)A car travels exactly once around a circle of radius 5.0 m at constant speed of 3.0 m/s. What is the car’s average velocity (magnitude and direction) during this interval? Explain/justify. (b)Repeat the calculation of average 
physics
Motion in a Circle A particle P travels with constant speed in a circle of radius 5.6 m and completes one revolution in 36.0 s. The particle passes through O at t = 0 s. What is the magnitude of the average velocity during the 
Physics
A particle P travels with constant speed in a circle of radius 7.3 m and completes one revolution in 34.0 s (see Figure). The particle passes through O at t = 0 s. What is the magnitude of the average velocity during the interval 
Physics
A particle P travels with constant speed in a circle of radius 7.3 m and completes one revolution in 34.0 s (see Figure). The particle passes through O at t = 0 s. What is the magnitude of the average velocity during the interval 
physics
A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure. The length of the arc ABC is 259 m, and the car completes the turn in 38.0 s. a)Determine the car's speed.m/s b)What 
physics ( please help me)
a railroad handcar is moving along striaght, fricionless tracks. In each of the following cases the car initially has a total mass (car and contents of magniude 4.00 m/s^1. Find the final velocity of the car in each of the three 
Physics
A particle P travels with constant speed in a circle of radius 8.6 m and completes one revolution in 12.0 s. The particle passes through O at t = 0 s. What is the magnitude of the average velocity during the interval from t = 5.4 
Physics
Mutiple choice: A car travelling at 10 m/s accelerates at 3 m/s^2. Its new velocity is A.) 12 m/s B.) 22m/s C.) 17 m/s D.) Can not be determined. Which of the following is not acceleration? A.) rate of change of speed in a 
physics
A car travels along a highway with a velocity of 24 m/s, west. The car exits the highway and 4.0 s later, its instantaneous velocity is 16 m/s, 45o north of west. What is the magnitude of the average acceleration of the car during