The national aeronautics and space administration (nasa) studies the physiological effects of large accelerations on astronauts. some of these studies use a machine known as a centrifuge. this machine consists of a long arm, to one end of which is attached a chamber in which the astronaut sits. the other end of the arm is connected to an axis about which the arm and chamber can be rotated. the astronaut moves on a circular path, much like a model airplane flying in a circle on a guideline. the chamber is located 13.0 m from the center of the circle. at what speed must the chamber move so that an astronaut is subjected to 4.50 times the acceleration due to gravity?

The of a machine determines its "usefulness." a. input force b. output force c. mechanical advantage

We want to calculate the total metabolic heat generated by a singing canary taking into account heat transfer by radiation, convection and exhaling air. the air temperature is 20 oc, canary’s body internal and surface temperature is 33oc, external body surface convective heat transfer coefficient is 25.2 w/m2 .k, temperature difference between the inhaled and exhaled air is 4.3 oc, the ventilation rate is 0.74 cc of air per second, specific heat of air is 1.0066 kj/kg.k and density of air is 1.16 kg/m3 . assume the canary’s body to be a cylinder with 7 cm diameter and 9 cm length, and heat exchange is from the side as well as the top and bottom of cylinder. calculate 1) the net rate of heat lost by radiation, assuming heat gained by the bird through radiation from the surroundings is 11.5 w; 2) rate of heat transferred by convection to the surrounding air; 3) rate of heat transferred in the exhaling air without considering any internal evaporation; 4) total metabolic power.

You are given two vectors a⃗ =−3.00ι^ 5.00j^ and b⃗ =5.00ι^ 2.00j^. let the counterclockwise angles be positive.