Problem
The device consists of hole in a steel beam, which ispivotedabout its center, to insert test tubes. The beam rotatesabout itscenter in a horizontal circle at a constant speed.calculate eachtest tubes acceleration as a function of its speedand position.also calculate the perpendicular components of eachtest tube'svelocity as a function of time and use those equationsto calculatethe magnitude of the acceleration as a function oftime.
Question
1. Write down an equation for one component of thepositionvector as a function of the radius of the circle and theangle thevector makes with one axis of your coordinate system.Since angularspeed is constant, write down an equation for theangle as afunction of time.
2. Using your equations for the components of the velocityofthe object as a function of time, calculate the speed oftheobject. Is the speed a function of time or is it constant? Usethisequation to relate the angular speed to the speed oftheobject.
3. equation for each component of the acceleration oftheobject.
4. using equation for the components of the acceleration oftheobject as a function of time, calculate the magnitude oftheacceleration of the object. Is the magnitude of accelerationafunction of time or is it constant?