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My daughters love to go down twisty slides- the ones that form a helix. Imagine a slide with a radius of 1.5 m and a vertical drop of 2 m per turn. Further suppose that one of my daughters is sliding down at a constant speed of 2 m/s (because the forces of gravity and friction are in balance). Determine my daughter's angular velocity about the central axis of the slide and the magnitude of her acceleration
The total dissolved inorganic carbon (TIC) of a sample of groundwater is 8.33 mM. The temperature of the aquifer is 15C, the pH is 7.5, and the ionic strength is 0.05 M. What is the H2CO3, HCO3-, CO3 2-, and the partial pressure of CO2? [Use activ..
Determine the % error n in replacing the sine and the tangent of an angle by the value of the angle in radians for angle values 5,10,20 degrees. Explain the qualitative difference between the sine and tangent results.
the maximum degree of curvature can be at most 6.0 and the superelevation can be at most +6.0%. Design the ramp for the highest horizontal curve design speed given the constraints.
Create a precedence (activity-on-node) diagram based off the attached activity list. You must follow the below recommendations as we discussed in class. 1) draw nodes as rectangles. It helps define the left side as starting and the right side as en..
The National Institute for Occupational Safety and Health (NIOSH) sets standards for CCl4 in air at 12.6 mg/m^3 of air (a time average over 40 hr). The CCl4 found in a sample is 4800 ppb. Does the sample meet the NIOSH standard
A beryllium copper wire having diameter of 1-50 mm and length of 40mm is used as a small torsion bar in an instrument. determine what angle of twist would result in the wire when it is stressed to 250 mpa.
a spherical balloon inflated sos that the volume is increasing at the rate of cubic meter/min. At what rate is the diameter increasing when the diameter is 12 m?
Ammonium (NH4+) is a weak acid with a pKa of 9.26. The dissociation is: NH+4 NH3 + H+. Calculate the mass of ammonium added to 1 L of water in order to obtain a pH of 4 at equilibrium.
Assuming a standard driver reaction time of 2.5 seconds, what is the probability that the vehicle pulling out will get in an accident with oncoming traffic?
determine the angular acceleration of the spool and the acceleration of the trailer. The wheels have negligible mass and are free to rotate.
The C-clamp weighs 14 oz at sea level. [16 oz (ounces) = 1lb.] The acceleration due to gravity at sea level is g = 32.2 ft/s2. a) What is the mass of the C-clamp in slugs b) What is the weight of the C-clamp at sea level in Newtons
The receiver's velocity is constant at 10 yd/sec, and he catches passes when the ball is 6 ft. above the ground. If the quarterback desires the receiver to catch the ball 2.5 sec. after the launch instant, determine the initial speed v0 and angle,..
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