A particle travels in a circle of radius 1.0 cm with a speed given by v = 2.0 t , where v is in cm/s and t is in seconds. Calculate the radial acceleration of the particle at t = 1 s .

Step-by-step solution

Given radius r = 1.0 cm and speed v = 2.0 t . At t = 1 s , the speed of the particle is v = 2.0 1 = 2.0 cm/s . The radial acceleration is given by the formula a_r = v^2 r . Substituting the values, a_r = (2.0)^2 1.0 = 4.0 cm/s ^2 .