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 207 m, and the car completes the turn in 33.0 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
(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
-
a)
speed =distance/time
=207m/33s
=6.272727272727...=6.27m/s (2 decimal places)
b)
magnitude of acceleration of an object travelling at constant speed in an arc =(speed^2)/radius
since the car turns from facing east to facing north, it has turned anticlockwise by 90°
length of arc =207m
circumference of circle containing the arc =207x(90°/360°) =828m
since circumference =2 x pi x radius;
radius =circumference/2pi
=828/2pi
=131.7802929...m
=> acceleration=(speed^2)/radius
= (6.27272727^2)/131.7802929...
= 0.29858112...m/s^2
= 0.30m/s^2 (2 decimal places)
speed =distance/time
=207m/33s
=6.272727272727...=6.27m/s (2 decimal places)
b)
magnitude of acceleration of an object travelling at constant speed in an arc =(speed^2)/radius
since the car turns from facing east to facing north, it has turned anticlockwise by 90°
length of arc =207m
circumference of circle containing the arc =207x(90°/360°) =828m
since circumference =2 x pi x radius;
radius =circumference/2pi
=828/2pi
=131.7802929...m
=> acceleration=(speed^2)/radius
= (6.27272727^2)/131.7802929...
= 0.29858112...m/s^2
= 0.30m/s^2 (2 decimal places)
-
You forgot to include the figure, genius.
Upload it on flickr and post the link on your question
Upload it on flickr and post the link on your question