Questions: Centrifuges are commonly used in biological laboratories for the isolation and maintenance of cell preparations. Suppose a centrifuge rotates with constant angular acceleration. Describe the tangential acceleration component of one of the blood samples that is located near the rim of the centrifuge. Multiple Choice The tangential acceleration constantly changes with time. It is impossible to determine what happens to the tangential acceleration of the blood sample since its location with respect to the center of the centrifuge is not given. The tangential acceleration is zero. The tangential acceleration is constant.

Centrifuges are commonly used in biological laboratories for the isolation and maintenance of cell preparations. Suppose a centrifuge rotates with constant angular acceleration. Describe the tangential acceleration component of one of the blood samples that is located near the rim of the centrifuge. Multiple Choice The tangential acceleration constantly changes with time. It is impossible to determine what happens to the tangential acceleration of the blood sample since its location with respect to the center of the centrifuge is not given. The tangential acceleration is zero. The tangential acceleration is constant.
Transcript text: Centrifuges are commonly used in biological laboratories for the isolation and maintenance of cell preparations. Suppose a centrifuge rotates with constant angular acceleration. Describe the tangential acceleration component of one of the blood samples that is located near the rim of the centrifuge. Multiple Choice The tangential acceleration constantly changes with time. It is impossible to determine what happens to the tangential acceleration of the blood sample since its location with respect to the center of the centrifuge is not given. The tangential acceleration is zero. The tangential acceleration is constant.
failed

Solution

failed
failed

Solution Steps

Step 1: Understanding Tangential Acceleration

Tangential acceleration refers to the rate of change of the tangential velocity of an object moving along a circular path. It is directly related to the angular acceleration of the rotating system and the radius of the circular path.

Step 2: Relationship Between Angular and Tangential Acceleration

For an object in circular motion, the tangential acceleration \( a_t \) is given by the formula: \[ a_t = \alpha \cdot r \] where \( \alpha \) is the angular acceleration and \( r \) is the radius of the circular path. If the angular acceleration is constant, then the tangential acceleration will also be constant, provided the radius \( r \) does not change.

Step 3: Analyzing the Given Options
  • The tangential acceleration constantly changes with time. This would be true if the angular acceleration were changing, but it is given as constant.
  • It is impossible to determine what happens to the tangential acceleration of the blood sample since its location with respect to the center of the centrifuge is not given. The location (radius) is not needed to determine the nature of the tangential acceleration, only its magnitude.
  • The tangential acceleration is zero. This would be true if there were no angular acceleration, but the problem states there is constant angular acceleration.
  • The tangential acceleration is constant. This is true because the angular acceleration is constant, and the radius does not change.

Final Answer

\(\boxed{\text{The tangential acceleration is constant.}}\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Batteries convert the chemical energy of an oxidation-reduction reaction to electricity. True False
failedAnswered
Sixty-four percent of adults in a certain country believe that life on other planets is plausible. You randomly select five adults and ask them whether they believe that life on other planets is plausible. The random variable represents the number of adults who believe that life on other planets is plausible. Find the mean, variance, and standard deviation of the binomial distribution for the random variable interpret the results Find the mean of the binomial distribution μ= (Round to two decimal places as needed.)
failedAnswered
Find all complex solutions of 7x^2 + 7x + 3 = 0. (If there is more than one solution, separate them with commas.)
failedAnswered
Cilia are composed of microtubules. How are microtubules different from the other cytoskeletal filaments? Microtubules are large bundles composed of the protein myosin. They are generally 15 nanometers in size. Microtubules are hollow tubes with a diameter of 25 nanometers and are composed of the protein tubulin. Microtubules are the smallest cytoskeletal element with a diameter of 5 nanometers, and they are composed of the protein actin. Microtubules vary in size from 9 to 11 nanometers and have different protein compositions depending upon the type of cell.
failedAnswered
the entire way of life of a group of people (including both material and symbolic elements) that acts as a lens through which one views the world and that is passed from one generation to the next the principle of using one's own culture as a means or standard by which to evaluate another group or individual, leading to the view that cultures other than one's own are abnormal or inferior the principle of understanding other cultures on their own terms, rather than judging or evaluating according to one's own culture the objects associated with a cultural group, such as tools, machines, utensils, buildings, and artwork; any physical object to which we give social meaning the ideas associated with a cultural group, including ways of thinking (beliefs, values, and assumptions) and ways of behaving (norms, interactions, and communication)