Suppose an automobile engine can produce 220 N⋅m of torque, and assume this car is suspended so that the wheels can turn freely. Each wheel acts like a 16.5 kg disk that has a 0.15 m radius. The tires act like 2.25-kg rings that have inside radii of 0.195 m and outside radii of 0.31 m. The tread of each tire acts like a 11-kg hoop of radius 0.345 m. The 14.5-kg axle acts like a solid cylinder that has a 1.95-cm radius. The 28-kg drive shaft acts like a solid cylinder that has a 2.9-cm radius.

calculate the angular acceleration in radians per square second, produced by the motor if 95.0% of this torque is applied to the drive shaft, axle, and rear wheels of a car.

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.

30 points - when can a theory be modified if a new type of technology allows for new observations that raise new questions? a. immediately, while the questions about the theory are being asked b. after new hypotheses related to the theory are tested in experiments c. only after the new observations disprove all parts of the theory d. while scientists begin to think about how the theory could improve

What are two different ways you could find the value of a? explain these methods.