A truck tire with a radius of 0.35 m rotates at an angular speed of 66.4 rad/s. What is the tires angular displacement in one minute?

3984 rad

Explanation:

The angular speed of a rotating object is the rate of change of angular displacement of the object.

Mathematically, it is given by

where

is the angular speed

is the angular displacement

is the time interval

In this problem, we have:

is the angular speed of the tire

We want to know what is the angular displacement in one minute, so in a time interval of

Solving the equation, we find:

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.

i think the answer is a, hope this : )