A cylindrical 4.31 kg pulley with a radius of 0.294 m is used to lower a 6.27 kg bucket into a well. The bucket starts from rest and falls for 3.55 s. The acceleration of gravity is 9.8 m/ What is the angular acceleration of the cylindrical pulley?

Answer in units of rad/

Explanation:

M = Mass of cylinder = 4.31 kg

R = Radius of cylinder = 0.294 m

m = Mass of bucket = 6.27 kg

g = Acceleration due to gravity =

= Angular acceleration

a = Acceleration =

I = Moment of inertia of cylinder =

The force balance of the system is

For the disk

The angular acceleration of the pulley is .

it doesn't. it was imagined up in the middle ages.

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min