Physics
posted by Leslie
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

Elena
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 
Elena
Change in velocity
vecorΔv =vecor v₂vecorv₁ 
Leslie
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
Respond to this Question
Similar Questions

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 interval … 
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 three … 
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? 
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? 
physics
The windshield of a speeding car hits a hovering insect. Consider the time interval from just before the car hits the insect to just after the impact. Which of the following are correct? 
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 214 m, and the car completes the turn in 40.0 s (Figure shows coordinate plane with point … 
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 cases. … 
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
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? 
Physics Circular Motion
A 1400 kg car rounds a curve of radius 66 m banked at an angle of 12°. What is the magnitude of the friction force required for the car to travel at 80 km/h?