solve it

B$.$ The piston head in ICE consists of two bowls of $2\mathrm{.}5$ cm diameter each. The engine is $3198c{m}^3$ four$-$cylinder, four$-$stroke, with a compression ratio of $12$ running at $3000$ rpm $.$ The conditions at the start of the compression stroke are $98$ kPa and $57C.$ If the tumble ratio is $2$ and swirl ratio, based on the first definition, is $6,$ calculate:

a$)$ The tangential velocity of the flow into the bowl $U_t$

b$)$ The tangential velocity of the mass swirl in the main cylinder

c$)$ The swirl ratio using the second definition.

$(3$ points$)$