a car is moving along a circular road at a speed of 20 ms the
a car is moving along a circular road at a speed of 20 ms the radius of circular road is 10 m if the speed is increased at the rate of 30 ms what is the resultant acceleration at that moment a 10 ms b 50 ms 250 ms d 80 ms
Answers :
0
To find the resultant acceleration of the car, we need to consider both the centripetal (radial) acceleration and the tangential acceleration.
Centripetal Acceleration (a_c):
The formula for centripetal acceleration is:
ac=rv2
Where:
v is the speed of the car (20 m/s)
r is the radius of the circular road (10 m)
ac=10202=10400=40m/s2
Tangential Acceleration (a_t):
The tangential acceleration is given as 30 m/s².
Resultant Acceleration (a_r):
To find the resultant acceleration, combine the centripetal and tangential accelerations using the Pythagorean theorem, since they are perpendicular to each other: