There is a clever kitchen gadget for drying lettuce leaves after you wash them. It consists of a cylindrical container mounted so that it can be rotated about its axis by turning a hand crank. The outer wall of the cylinder is perforated with small holes. You put the wet leaves in the container and turn the crank to spin off the water. The radius of the container is 11.9 cm. When the cylinder is rotating at 1.26 revolutions per second, what is the magnitude of the centripetal acceleration at the outer wall

Centripetal acceleration;a_c = 7.46 m/s²

Explanation:

In the concept of circular motion, if an object is moving in a circle of radius r with constant speed v, then the motion is said to be a uniform circular motion. It exhibits a centripetal acceleration directed towards it's centre with the formula;

Centripetal acceleration; a_c = v²/r

Where v is velocity and r is radius.

Now, we are not given the velocity but we know that velocity in uniform circular motion is given by the formula;

v = 2πr/T

Thus,

a_c = (2πr/T)²/r

a_c = 4π²r/T²

We are given;

Radius;r = 11.9cm = 0.119m

Frequency; f= 1.26 revs/s

Now,period;T = 1/f

Thus T = 1/1.26 = 0.7937 s

Thus;

a_c = 4π²(0.119)/(0.7937²)

a_c = 7.46 m/s²

answer: the correct answer is 1.

explanation: there are various process in which a radioactive nuclei decays:

1) alpha decay: in this process, a heavier nuclei decays into lighter nuclei by releasing alpha particle. the mass number is reduced by 4 units.

2) electron capture: in this decay process, a parent nuclei absorbs an electron and gets converted into a neutron. simply, a proton and an electron combines together to form a neutron. mass number does not change in this process.

3) gamma ray emission: it is a decay process in which an unstable nuclei gives excess energy by a spontaneous electromagnetic process. this decay releases . this process does not change the mass number.

4) positron emission: it is a type of decay process, in which a proton gets converted to neutron and an electron neutrino. this is also known as -decay. in this the mass number remains same.

from the above information, we see that only alpha-decay is producing a change in the mass number of the nucleus.