Answer:
0.321659377 m/s²
1.383138458 m/s
0.321659377 m/s²
0.62667 m/s²
0.7044 m/s² and 27.17°
Explanation:
d = Diameter of rim = 13 in = 
r = Radius = 
= Final angular velocity = 
= Initial angular velocity = 0
= Angular acceleration
t = Time taken = 4.3 s
Equation of rotational motion

Tangential acceleration is given by

The tangential acceleration of the bug is 0.321659377 m/s²
Tangential velocity is given by

The tangential velocity of the bug is 1.383138458 m/s
The tangential acceleration is constant which is 0.321659377 m/s²
Centripetal acceleration is given by

The centripetal acceleration of the bug is 0.62667 m/s²
The resultant of the acceleration gives us total acceleration

Direction is given by

The magnitude and direction of the acceleration is 0.7044 m/s² and 27.17°
The speed obtained by
the pilot is not accurate since it is measuring the rate of travel in the wind,
true velocity is that compared to the ground. Therefore the speed of the wind
is:
v wind = 165 - 145
v wind = 20 km/h<span>
<span>Therefore the wind velocity = 20 km/h against the plane.</span></span>
Answer:
The answer to your question is weight = 1667 N
Explanation:
Data
density = 2.40 x 10³ kg/m³
volume = 0.0708 m³
Force = 66.7 N
weight of the block = ?
- Formula
density = mass / volume
- Solve for mass
mass = density x volume
-Substitution
mass = (2.40 x 10³)(0.0708)
-Result
mass = 169.92 kg
-Calculate the weight of the body
weight = mass x gravity
-Substitution
weight = 169.92 x 9.82
-Simplification
weight = 1666.9 N ≈ 1667 N
Incomplete question as the car's speed is missing.I have assumed car's speed as 6.0m/s.The complete question is here
An amusement park ride consists of a car moving in a vertical circle on the end of a rigid boom of negligible mass. The combined weight of the car and riders is 6.00 kN, and the radius of the circle is 15.0 m. At the top of the circle, (a) what is the force FB on the car from the boom (using the minus sign for downward direction) if the car's speed is v 6.0m/s
Answer:

Explanation:
Set up force equation
∑F=ma
∑F=W+FB
The minus sign for downward direction