QUESTIONS

A car initially traveling eastward turns north by traveling in

a circular path at uniform speed as shown in figure. The

length of the arc ABC is $235m$ and the car completes the

turn in $36s$ and in the form of $120m$ in diameter.

a$.$ What is the acceleration when the car is at $B$ located

at an angle of $35?$ Express your answer in terms of

the unit vectors hat$()$ and hat$().$

b$.$ Find out the car $\text{'}$s in revolutions per second.

When a force is exerted on a rigid object pivoted about an axis, the object tends to rotate

about that axis. The tendency of a force to rotate an object about some axis is measured by

a quantity called torque vec$()=$vec$(r)xvec(F).$ A particle is located at

vec$(r)=(9\mathrm{.}6t(hat())+8\mathrm{.}85(hat())-t^2(hat(k)))m$

and force

vec$(F)=(4$hat$()+5$hat$()-2$hat$(k))N$

acts on it$.($a$)$ What is the torque $(vec()),$ calculated about the origin? $($b$)$ Since $P=$vec$(F)*vec(v),$ then

find the power exerted on the object.