Question

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a car is moving with speed 30 metre per second on a circular path of radius 500m its speed is increasing at the rate of 2 metre per second square what is acceleration of car

Answer 1

$\huge\textbf{Answer}$

GIVEN THAT A CAR IS MOVING WITH SPEED 30m/s ON A CIRCULAR PATH OF RADIUS 500M . AND THE

SPEED OF CAR IS INCREASING AT RATE OF 2m/s^2 .

THERE FOR WE HAVE

SPEED OF CAR OR (VELOCITY AT FIXED MOMENT) = 30m/s

RADIUS OF TRACK = 500M

ACCELERATION = ??

NOW IN THIS CASE THERE IS TWO TYPES OF ACCELERATION THEY ARE

CENTRIPETAL ACCELERATION WHICH IS

\frac{ {v}^{2} }{radius}

radius

v

2

THAT IS EQUAL TO

\frac{ {30}^{2} }{500} = 1.8

500

30

2

=1.8

NOW SECOND ACCELERATION IS TANGENTIAL

THAT IS EQUAL TO

= 2m/s

NOW THE TOTAL ACCELERATION OR NET ACCELERATION IS

= √[ CENTRIPETAL ACCELERATION + TANGENTIAL ACCELERATION ]

WHICH IS EQUAL TO

\sqrt{ {1.8}^{2} + {2}^{2} } \: = \: 2.69 \: meter \: per \: second \: sqr

1.8

2

+2

2

=2.69meterpersecondsqr

HENCE THE TOTAL ACCELERATION IS

= 2.69 m/s^2


if you didn't understand , then find the attached given there. .

Answer 2

Heyy

Hope it helps........