A) \[\text{220 m/se}{{\text{c}}^{\text{2}}}\text{, 50 m/se}{{\text{c}}^{\text{2}}}\]
B) \[\text{110 m/se}{{\text{c}}^{\text{2}}}\text{, 5 m/se}{{\text{c}}^{\text{2}}}\]
C) \[\text{120 m/se}{{\text{c}}^{\text{2}}}\text{, 2 m/se}{{\text{c}}^{\text{2}}}\]
D) \[\text{110 m/se}{{\text{c}}^{\text{2}}}\text{, 10 m/se}{{\text{c}}^{\text{2}}}\]
Correct Answer: C
Solution :
| [c] Given: r = 30 cm = 0.3 m and V = 2t |
| Radial acceleration at t = 3 sec |
| \[{{\text{a}}_{\text{r}}}\text{=}\frac{{{\text{v}}^{\text{2}}}}{\text{r}}\text{=}\frac{\text{4}{{\text{t}}^{\text{2}}}}{\text{0}\text{.3}}=\frac{\text{4 }\!\!\times\!\!\text{ }{{\left( \text{3} \right)}^{\text{2}}}}{\text{0}\text{.3}}\text{=120 m/}{{\text{s}}^{\text{2}}}\] |
| and trigeminal acceleration |
| \[a{{ & }_{t}}=\frac{dv}{dt}=2\text{ }m\text{/}{{s}^{2}}\] |
You need to login to perform this action.
You will be redirected in
3 sec
