AP EAMCET202123 Aug 2021Morning ShiftPhysicsMotion in One DimensionActual
A car is moving with a speed of 30 ~ms ⁻¹ on a circular path of radius 500 ~m . If its speed is increasing at the rate of 2 ~ms ⁻² , then find its acceleration.
Options
- A2.0 ~ms ⁻²
- B1.8 ~ms ⁻²
- C9.8 ~ms ⁻²
- D2.7 ~ms ⁻²
Correct answer
D. 2.7 ~ms ⁻²
Step-by-step solution
Given, initial speed, u=30 ~ms ⁻¹ Radius, r=500 ~m Linear acceleration, a_T=2 ~ms ⁻² Let acceleration be a a= a_T^2+a_r^2 As, a_r= u^2 r = (30)^2 500 = 900 500 = 9 5 ~ms ⁻² aligned a & = 2^2+ ( 9 5 )^2 = 4+ 81 25 & =2.69 ~ms ⁻² 2.7 ~ms ⁻² aligned