Answer to Question #162708 in Mechanical Engineering for loy

Question #162708

A race car enters the circular portion of a track that has a radius of 70 m. When the car enters the curve at point P, it is traveling with a speed of 120 km/h that is increasing at 4 m/s2 . Four seconds later, determine the x and y components of velocity and acceleration of the car.


1
Expert's answer
2021-02-15T05:40:23-0500

Radius of car= 70m,travelling with speed=120 km/h= 120 ,

acceleration=4m/s2, time=t=4s,

we take inital position of particles as

and

acceleration

Now, we know that initially angle

,

Now, after time t= 4 ,


this is angular acceleration of car

this is the angular dispalcement of car after 4 second

Now,


V =


So here x component of velocity will be -34.706 m/s and y component of velocity is 35.054 m/s


Now acceleration of particles will be

a=-21.89 i- 21.89j

a=30.96 m/s2


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