Question

A car is going at a uniform speed of 25.0 miles per hour on a circular...

A car is going at a uniform speed of 25.0 miles per hour on a circular horizontal road of radius 50.0 meters. (a) Find the magnitude and the direction of its centripetal acceleration when it is at the southernmost point on the road. (b) What is its angular velocity?

Homework Answers

Answer #1

Given

Speed v = 25 miles/ hour

v = 11.176metre/second (1miles/hour = 0.447metre/second)

Radius r = 50 m

Centripetal acceleration a​​​​​​ c = v​​​​​​ 2 / r = 2 r

= angular velocity

a c = v 2 / r

a c = ( 11.176) 2 / 50

a c = 2.5 m / s 2

The magnitude of the centripetal acceleration = 2.5 m/ s​​​​​​ 2 . The direction is towards the centre of the circle . ie, directed towards left .

b .

a c = 2 r

=√( a c / r )

= √ ( 2.5 / 50 )

= 0. 2236 s -1

The angular velocity = 0.2236 s -1

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A race car accelerates uniformly from a speed of 41.0 m/s to a speed of 62.0...
A race car accelerates uniformly from a speed of 41.0 m/s to a speed of 62.0 m/s in 5.00 s while traveling clockwise around a circular track of radius 3.70  102 m. When the car reaches a speed of 50.0 m/s, find the following. (a) the magnitude of the centripetal acceleration ______ m/s2 (b) the angular speed ______ rad/s (c) the magnitude of the tangential acceleration ____ m/s2 (d) the magnitude of the total acceleration ____ m/s2 Use the values from...
a) When we see a car going by at 120 miles per hour we exclaim things...
a) When we see a car going by at 120 miles per hour we exclaim things like "That car is really going fast!", although it is really going at a constant speed. Why is it that if the accelerator pedal is very tight, the car is not going fast? Explain using Newton's laws. b) Many times we think that what makes the car move is its engine. However, no matter how powerful the engine is (the energy it delivers per...
1.What is the magnitude of angular momentum of a 1070 kg car going around a circular...
1.What is the magnitude of angular momentum of a 1070 kg car going around a circular curve with a 15.0 m radius at 12.0 m/s? Assume the origin is at the center of the curve's arc. 2.A solid uniform sphere of mass 3.7 kg and radius 0.051 m rotates with angular velocity 7.3 rad/s about an axis through its center. Find the sphere’s rotational kinetic energy. 3.How far from the pivot of a horizontal seesaw should a 28.0-kg child sit...
Find the answer and explain pls. _____ 1.       An object in uniform circular motion has a...
Find the answer and explain pls. _____ 1.       An object in uniform circular motion has a constant            A.       velocity      B. acceleration         C.       both of these D.       neither of these _____ 5.     When a racecar rounds a circular banked corner at a constant speed, it has A.       No tangential acceleration           B.       No centripetal acceleration C.       both of these                                 D.       Neither of these _____ 6.       On an unbanked road surface, the safe maximum driving speed for rounding a corner is directly...
If the speed of an object in uniform circular motion is tripled, the magnitude of the...
If the speed of an object in uniform circular motion is tripled, the magnitude of the centripetal acceleration increases by a factor of : A. 2 B. 3 C. 9 D. 6 E. 8
Question 1 The study of Uniform Circular Motion relates to objects traveling with constant speed around...
Question 1 The study of Uniform Circular Motion relates to objects traveling with constant speed around a circle with radius, R. Since the object has a constant speed along a circular path, we can also say that A) the object has zero velocity. B) the object has a constant acceleration magnitude. C) the object has zero acceleration. D) the object has a constant velocity. E) the object has an increasing acceleration. Question 2 Uniform Circular Motion (UCM) problems are just...
A race car accelerates uniformly from a speed of 32 m/s to a speed of 63...
A race car accelerates uniformly from a speed of 32 m/s to a speed of 63 m/s in 5.1 s while traveling counterclockwise around a circular track of radius of 422 m. When the car reaches a speed of 46 m/s, find the magnitude of the total acceleration (centripetal + tangential acceleration) in m/s2.
Centripetal Acceleration: A car moving with a constant speed of 80 km/h enters a circular, flat...
Centripetal Acceleration: A car moving with a constant speed of 80 km/h enters a circular, flat curve with a radius of curvature of 0.50 km.  If the friction between the road and the car’s tires can support a centripetal acceleration of 1.20 m/s2, without slipping, does the car navigate the curve safely, or does it fly off the road? Perform calculations to justify your answer. Be sure to perform all the necessary dimensional conversions to mks units.
(a) A car is travelling around a circular path that such that its position from point...
(a) A car is travelling around a circular path that such that its position from point O is defined by r = 200 (4 – 2 sin θ) m. If the angular motion is defined by θ = (0.01t3) rad, determine the direction and magnitude of the car’s velocity and acceleration when θ = 1
A car traveling at 45 miles per hour is brought to a stop, at constant deceleration,...
A car traveling at 45 miles per hour is brought to a stop, at constant deceleration, 132 feet from where the brakes are applied. a) How far has the car moved when its speed has been reduced to 30 miles per hour? b) How far has the car moved when its speed has been reduced to 15 miles per hour? c) What is the car's rate of deceleration?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT