Physics 1603 Exam Chapter 1 Review 211581[2023]

Suppose that the displacement of an object is related to time according to the expression x=Bt^2. What are the dimensions of B? - -L/T^2 -A displacement is related to time as x=Asin(2pift), where A and f are constants. Find the dimensions of A. - -L -The radius of a circle is measured to be (10.4+-0.2)m. Calculate each of the following and give the uncertainty in each value. (a) The circumference of the circle (b) The area of the circle - -(a) 66.3 +- 1.3 (b) 340 +- 13 -A car is traveling at a speed of 36.2 m/s on an interstate highway where the speed limit is 60.0 mi/h. Is the driver exceeding the speed limit? - -Yes -The diameter of a sphere is measured to be 6.28 in. (a) Find the radius of the sphere in centimeters. (b) Find the surface area of the sphere in square centimeters (c) Find the volume of the sphere in cubic centimeters - -(a) 7.97 cm (b) 798.2 cm^2 (c) 2120.62 cm^3 -The speed of light is about 3.00*10^8 m/s. Convert this figure to miles per hour. - -6.71*10^8 -The base of a pyramid covers an area of 13.0 acres (1 acre=43560 ft^2) and has a height of 481 ft. If the volume of a pyramid is given by the expression V=bh/3, where b is the area of the base and h is the height, find the volume of this pyramid in cubic meters. - -2.6*10^6 -Estimate the number of steps you would have to take to walk a distance equal to the circumference of the Earth. (We estimate that the length