A car is travelling with speed v on a circular road of radius r. If it is increasing its speed at the rate of 'a' meter/sec 2 , then the resultant acceleration will be Options: A . &nbsp√{v2r2−a2} B . &nbsp√{v4r2+a2} C . &nbsp√{v4r2−a2} D . &nbsp√{v2r2+a2}

Answer: Option B : B a r e s u l t a n t = √ a 2 r a d i a l + a 2 t a n g e n t i a l = √ v 4 r 2 + a 2

A car is travelling with speed v on a circular road of radius r. If it

Question

A car is travelling with speed v on a circular road of radius r. If it is increasing its speed at the rate of 'a' meter/sec², then the resultant acceleration will be

Options:

A . √{v2r2−a2}

B . √{v4r2+a2}

C . √{v4r2−a2}

D . √{v2r2+a2}

Answer: Option B
:
B

a_{r e s u l t a n t}

\sqrt{a_{r a d i a l}^{2} + a_{t a n g e n t i a l}^{2}} = \sqrt{\frac{v^{4}}{r^{2}} + a^{2}}

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