# A car initially traveling eastward turns north by traveling in a circular path a

User Generated

zwbbql132

Science

### Question Description

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 270 m, and the car completes the turn in 31.0 s.

(a) Determine the car's speed.
m/s

(b) What is the magnitude and direction of the acceleration when the car is at point B?
 magnitude m/s2 direction ° counterclockwise from the +x-axis

Student has agreed that all tutoring, explanations, and answers provided by the tutor will be used to help in the learning process and in accordance with Studypool's honor code & terms of service.

## Explanation & Answer

Thank you for the opportunity to help you with your question!

The length of the arc is for a 90 degree or (π/2) radians is
l = rθ
l = 270*(π/2)
l = 424.1 m

so the constant speed is
v = l/t
v = 424.1 / 31
v = 13.68 m/s

acceleration at a uniform speed on a circular curve is
a = v²/r
a = 13.68² / 270
a = 0.693 m/s²

and the direction will be towards the center of the curve which will be perpendicular to the instantaneous velocity.
35° + 90° = 125°

Please let me know if you need any clarification. I'm always happy to answer your questions.

Sngva Zraunm (1755)
Boston College
Review
Review

Anonymous
Really helped me to better understand my coursework. Super recommended.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4