Dynamics Session 3 Worked example 1 (ENGR5004) - Revisica

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ENGR5004 Dynamics Session 3 worked example 1 (slides 16-17) official answers

A boat travels around a circular path of radius $r = 40$ m at a speed that increases with time, $v = 0.0625\,t^2$ m/s ( $t$ in s). The boat starts from rest ( $v = 0$ when $t = 0$ ).

Find the magnitudes of the boat's velocity and acceleration at the instant $t = 10$ s.

Formulas you may need

Normal-tangential components: $\mathbf a = \dot v\,\mathbf u_t + \dfrac{v^2}{\rho}\mathbf u_n$ , $a = \sqrt{a_t^2 + a_n^2}$ (learn this)

v =m/s

a_t =m/s^2

a_n =m/s^2

a =m/s^2

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