Question

A car is moving with speed 30 m/sec on a circular path of radius 500 m. Its speed is increasing at the rate of 2m/sec². What is the acceleration of the car

• A. 2 m/s²
• B. 2.7 m/s²
• C. 1.8 m/s²
• D. 9.8 m/s²

Answer 1

Answer: (B)

2.7 m/s²

Answer 2

a_t = 2m/s² and $a_{c} = \frac{v^{2}}{r} = \frac{30 \times 30}{500} = 1.8m ⥂ / ⥂ s^{2}$

∴ $a = \sqrt{a_{t}^{2} + a_{c}^{2}} = \sqrt{2^{2} + (1.8)^{2}} = 2.7m ⥂ / ⥂ s^{2}$.