An approximate model for a ceiling fan consists of a cylindrical disk with four thin rods extending from the disk’s center, as in Figure P8.41. The disk has mass 2.50 kg and radius 0.200 m. Each rod has mass 0.850 kg and is 0.750 m long, (a) Find the ceiling fan’s moment of inertia about a vertical axis through the disk’s center, (b) Friction exerts a constant torque of magnitude 0.115 N · m on the fan as it rotates. Find the magnitude of the constant torque provided by the fan’s motor if the fan starts from rest and takes 15.0 s and 18.5 full revolutions to reach its maximum speed. Figure P8.41
An approximate model for a ceiling fan consists of a cylindrical disk with four thin rods extending from the disk’s center, as in Figure P8.41. The disk has mass 2.50 kg and radius 0.200 m. Each rod has mass 0.850 kg and is 0.750 m long, (a) Find the ceiling fan’s moment of inertia about a vertical axis through the disk’s center, (b) Friction exerts a constant torque of magnitude 0.115 N · m on the fan as it rotates. Find the magnitude of the constant torque provided by the fan’s motor if the fan starts from rest and takes 15.0 s and 18.5 full revolutions to reach its maximum speed. Figure P8.41
Solution Summary: The author explains the ceiling fan's moment of inertia about vertical axis through the disk’s center.
An approximate model for a ceiling fan consists of a cylindrical disk with four thin rods extending from the disk’s center, as in Figure P8.41. The disk has mass 2.50 kg and radius 0.200 m. Each rod has mass 0.850 kg and is 0.750 m long, (a) Find the ceiling fan’s moment of inertia about a vertical axis through the disk’s center, (b) Friction exerts a constant torque of magnitude 0.115 N · m on the fan as it rotates. Find the magnitude of the constant torque provided by the fan’s motor if the fan starts from rest and takes 15.0 s and 18.5 full revolutions to reach its maximum speed.
Use the following information to answer the next question.
Two mirrors meet an angle, a, of 105°. A ray of light is incident upon mirror A at an angle, i, of
42°. The ray of light reflects off mirror B and then enters water, as shown below:
Incident
ray at A
Note: This diagram is not to
scale.
a
Air (n = 1.00)
Water (n = 1.34)
1) Determine the angle of refraction of the ray of light in the water.
B
Hi can u please solve
6. Bending a lens in OpticStudio or OSLO. In either package, create a BK7 singlet lens of 10 mm semi-diameter
and with 10 mm thickness. Set the wavelength to the (default) 0.55 microns and a single on-axis field point at
infinite object distance. Set the image distance to 200 mm. Make the first surface the stop insure that the lens
is fully filled (that is, that the entrance beam has a radius of 10 mm). Use the lens-maker's equation to
calculate initial glass curvatures assuming you want a symmetric, bi-convex lens with an effective focal length
of 200 mm. Get this working and examine the RMS spot size using the "Text" tab of the Spot Diagram analysis
tab (OpticStudio) or the Spd command of the text widnow (OSLO). You should find the lens is far from
diffraction limited, with a spot size of more than 100 microns.
Now let's optimize this lens. In OpticStudio, create a default merit function optimizing on spot size.Then insert
one extra line at the top of the merit function. Assign the…
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