1. an engineer has been assigned the design of a hydraulic reserve tank to be attached to the main hydraulic system of an excavator boom. the main system has four cylinders with 120 mm diameter pistons and a stroke of 0.320 m. the lines connecting the main system have a 1 cm inside diameter and are 15.5 m in total length. for safety reasons, the reserve tank must hold a minimum of 50% more than the total amount of hydraulic fluid in the main system. if the diameter of the reserve tank will fit best on the excavator with a diameter of 30.48 cm, what is the shortest height it should be?

Agymnast dismounts off the uneven bars in a tuck position with a radius of 0.3m (assume she is a solid sphere) and an angular velocity of 2rev/s. during the dismount she stretches out into the straight position, with a length of 1.5m, (assume she is a uniform rod through the center) for her landing. the gymnast has a mass of 50kg. what is her angular velocity in the straight position?

Explain the difference between each pair of concepts. a. frequency and relative frequency b. percentage and relative frequency a. select the correct choice below. a. frequency is the total number of observations in a data set. relative frequency is the number of times a particular distinct value occurs. b. frequency is the number of times a particular distinct value occurs. relative frequency is the ratio of the frequency of a value to the total number of observations. c. frequency is the total number of observations in a data set. relative frequency is the ratio of the number of times a particular distinct value occurs to the frequency. d. frequency is the number of times a particular distinct value occurs. relative frequency is the ratio of the frequency of two different values.

If forces acting on an object are unbalanced. true or false