During the spin cycle of your clothes washer, the tub rotates at a steady angular velocity of 33.3 rad/s. Find the angular displacement of the tub during a spin of 77.5 s, expressed both in radians and in revolutions.

The angular displacement of the tub will be 2580.75 rad or 411 revolutions.

Explanation:

We know the relation between angular velocity (), the angular displacement () and time () is given by

Given = and the time () required to complete a spin is 77.5 s.

Therefore, the required angular displacment () is

Also we know that,

So, the angular displacement of the tub will be 2580.75 rad or 411 revolutions.

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.