AP EAMCET202318 May 2023Evening ShiftPhysicsMotion in Two DimensionsActual
A car is travelling at 30 ~ms ⁻¹ speed on a circuiar road of radius 300 ~m . If its speed is increasing at the rate of 4 ms ⁻² , then its acceleration is
Options
- A2.7 ~ms ⁻²
- B3 ~ms ⁻²
- C4 ~ms ⁻²
- D5 ~ms ⁻²
Correct answer
D. 5 ~ms ⁻²
Step-by-step solution
Velocity of car, V=30 m/s Radius of road, R =300 ~m . Tangential acceleration, a_T=4 ~m / s ^2 Centripetal acceleration, a _ C = V ^2 R a_C= 30 30 300 =3 ~m / s ^2 Net acceleration is given as: aligned & a _ T = a _ T ^2+ a _ C ^2 = (3)^2+(4)^2 & a _ T =5 ~m / s ^2 aligned