Summary-This is the basic problem from Dimensional Analysis. I have provided the step by step solution.
v=at is Dimensionally correct because it has the same dimension on both sides
Show that the expression v = at, where v represents speed, a acceleration, and t an...
In the expression below: v is the speed of an object, x is position, t is time, and a and b are constants. What are the dimensions of the constants? Please show how the blue box is correct. Thank you.
Dimensional Analysis Chapter 1: Measurement and Mathematics Conceptual problems 1.C.5 The following variables are commonly seen in equations. The name of the (2.00) quantity represented by each variable, and its dimension(s), are also shown. x distance (L) t time (T) m mass (M) a acceleration (LT2) v speed (L/T) F force (ML/T2) Using the information above, check the boxes of the equations that are dimensionally correct. Select all that apply O F= ma 0 V2 = 2ax v = at...
2) A. Linearize the following equation where s and t are the variables: pep B. What are the slope and intercept of your new equation? C. Check that your new equation is dimensionally correct (s is a distance, v is a velocity, a is an acceleration, and t is a time) 3) A. Linearize the following equation where D and h are the variables: B. What are the slope and intercept of your new equation? C. Check that your new...
Show that each of the following equations are dimensionally correct or in correct: x=distance, v=velocity, a=acceleration, t=time A) x= v^2/4a b) v=1/3πR^3h where V=volume of conical shape, π=contant, R=radius, and h=height
Check the following equations for dimensional consistency where t is time (s), v is speed (m/s), a is acceleration (m/s2 ), and x is position (m): a) ? = (? ^2/ 2?) b) ? = 1/ 2 ?? c) ? = √( 2?/ ? ).
Check the following equations for dimensional consistency where t is time (s), v is speed (m/s), a is acceleration (m/s2 ), and x is position (m): a) ? = ? 2 2? b) ? = 1 2 ?? c) ? = √ 2? ? .
The motorcycle is traveling at 8 m/s when it is at A. The speed is then increased at v? = 0.2 m/s2 . b: determine the acceleration of the motercycle at the instant t = 7 s Problem 12.123 Part A The motorcycle is traveling at 8 m/s when it is at A. The speed is then increased at Determine the speed of the motorcycle at the instant t7 s Express your answer to three significant figures and include the...
The initial velocity and acceleration of four moving objects at a given instant in time are given in the following table. Determine the final speed of each of the objects, assuming that the time elapsed since t = 0 s is 2.1 s. Question 4 Your answer is partially correct. Try again The initial velocity and acceleration of four moving objects at a given instant in time are given in the following table. Determine the final speed of each of...
a) The rotor of a helicopter is gaining angular speed with constant angular acceleration. At t = 0 it is rotating at 1.25 rad/s. From t = 0 to t = 2.00 s, the rotor rotates through 8.00 rad. What is the angular acceleration of the rotor? b) Through what angle (in radians) does the rotor rotate from t = 0 to t = 4.00 s? in radians c) Shortly after a vinyl record (radius 0.152 m) starts rotating on...
35. In Chapter 1 acceleration is defined as a = ∆v. Show ∆t that on an inclined plane, the acceleration of a cart that gains 6.0 m/s each 1.2 s is 5.0 m/s2. 36. In this chapter we learn that the cause of acceleration is given by Newton’s second law: a = Fnet/m . Show that the acceleration in Problem 35 results from a net force of 15 N exerted on a 3.0-kg cart. (Note: The unit N/kg is equivalent...